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Finding the Third Proportional to 127,352 and 273,498

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Solution

The third proportional to 127,352 and 273,498 is: 587,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,352 : 273,498 = 273,498 : x
  2. Step 2: Convert to fraction form
    127,352/273,498 = 273,498/x
  3. Step 3: Cross multiply
    127,352x = 273,498 × 273,498
  4. Step 4: Simplify right side
    127,352x = 74,801,156,004
  5. Step 5: Solve for x
    x = 74,801,156,004/127,352
  6. Step 6: Final answer
    x = 587,357.53

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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.