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Finding the Third Proportional to 127,452 and 297,670

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Solution

The third proportional to 127,452 and 297,670 is: 695,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,452 : 297,670 = 297,670 : x
  2. Step 2: Convert to fraction form
    127,452/297,670 = 297,670/x
  3. Step 3: Cross multiply
    127,452x = 297,670 × 297,670
  4. Step 4: Simplify right side
    127,452x = 88,607,428,900
  5. Step 5: Solve for x
    x = 88,607,428,900/127,452
  6. Step 6: Final answer
    x = 695,221.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.