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Finding the Third Proportional to 119,541 and 257,525

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Solution

The third proportional to 119,541 and 257,525 is: 554,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,541 : 257,525 = 257,525 : x
  2. Step 2: Convert to fraction form
    119,541/257,525 = 257,525/x
  3. Step 3: Cross multiply
    119,541x = 257,525 × 257,525
  4. Step 4: Simplify right side
    119,541x = 66,319,125,625
  5. Step 5: Solve for x
    x = 66,319,125,625/119,541
  6. Step 6: Final answer
    x = 554,781.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.