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Finding the Third Proportional to 144,570 and 222,484.50

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Solution

The third proportional to 144,570 and 222,484.50 is: 342,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,570 : 222,484.50 = 222,484.50 : x
  2. Step 2: Convert to fraction form
    144,570/222,484.50 = 222,484.50/x
  3. Step 3: Cross multiply
    144,570x = 222,484.50 × 222,484.50
  4. Step 4: Simplify right side
    144,570x = 49,499,352,740.25
  5. Step 5: Solve for x
    x = 49,499,352,740.25/144,570
  6. Step 6: Final answer
    x = 342,390.21

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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.