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Finding the Third Proportional to 144,548 and 222,460

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Solution

The third proportional to 144,548 and 222,460 is: 342,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,548 : 222,460 = 222,460 : x
  2. Step 2: Convert to fraction form
    144,548/222,460 = 222,460/x
  3. Step 3: Cross multiply
    144,548x = 222,460 × 222,460
  4. Step 4: Simplify right side
    144,548x = 49,488,451,600
  5. Step 5: Solve for x
    x = 49,488,451,600/144,548
  6. Step 6: Final answer
    x = 342,366.91

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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.