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Finding the Third Proportional to 127,944 and 297,432

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Solution

The third proportional to 127,944 and 297,432 is: 691,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,944 : 297,432 = 297,432 : x
  2. Step 2: Convert to fraction form
    127,944/297,432 = 297,432/x
  3. Step 3: Cross multiply
    127,944x = 297,432 × 297,432
  4. Step 4: Simplify right side
    127,944x = 88,465,794,624
  5. Step 5: Solve for x
    x = 88,465,794,624/127,944
  6. Step 6: Final answer
    x = 691,441.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.