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Finding the Third Proportional to 119,436 and 257,514

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Solution

The third proportional to 119,436 and 257,514 is: 555,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,436 : 257,514 = 257,514 : x
  2. Step 2: Convert to fraction form
    119,436/257,514 = 257,514/x
  3. Step 3: Cross multiply
    119,436x = 257,514 × 257,514
  4. Step 4: Simplify right side
    119,436x = 66,313,460,196
  5. Step 5: Solve for x
    x = 66,313,460,196/119,436
  6. Step 6: Final answer
    x = 555,221.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.