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Finding the Third Proportional to 119,466 and 257,436

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Solution

The third proportional to 119,466 and 257,436 is: 554,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,466 : 257,436 = 257,436 : x
  2. Step 2: Convert to fraction form
    119,466/257,436 = 257,436/x
  3. Step 3: Cross multiply
    119,466x = 257,436 × 257,436
  4. Step 4: Simplify right side
    119,466x = 66,273,294,096
  5. Step 5: Solve for x
    x = 66,273,294,096/119,466
  6. Step 6: Final answer
    x = 554,746.07

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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.