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Finding the Third Proportional to 118,429 and 253,747

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Solution

The third proportional to 118,429 and 253,747 is: 543,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,429 : 253,747 = 253,747 : x
  2. Step 2: Convert to fraction form
    118,429/253,747 = 253,747/x
  3. Step 3: Cross multiply
    118,429x = 253,747 × 253,747
  4. Step 4: Simplify right side
    118,429x = 64,387,540,009
  5. Step 5: Solve for x
    x = 64,387,540,009/118,429
  6. Step 6: Final answer
    x = 543,680.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.