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Finding the Third Proportional to 119,438 and 257,524

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Solution

The third proportional to 119,438 and 257,524 is: 555,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,438 : 257,524 = 257,524 : x
  2. Step 2: Convert to fraction form
    119,438/257,524 = 257,524/x
  3. Step 3: Cross multiply
    119,438x = 257,524 × 257,524
  4. Step 4: Simplify right side
    119,438x = 66,318,610,576
  5. Step 5: Solve for x
    x = 66,318,610,576/119,438
  6. Step 6: Final answer
    x = 555,255.53

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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.