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Finding the Third Proportional to 144,384.75 and 222,215.63

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Solution

The third proportional to 144,384.75 and 222,215.63 is: 342,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384.75 : 222,215.63 = 222,215.63 : x
  2. Step 2: Convert to fraction form
    144,384.75/222,215.63 = 222,215.63/x
  3. Step 3: Cross multiply
    144,384.75x = 222,215.63 × 222,215.63
  4. Step 4: Simplify right side
    144,384.75x = 49,379,783,994.14
  5. Step 5: Solve for x
    x = 49,379,783,994.14/144,384.75
  6. Step 6: Final answer
    x = 342,001.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.