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Finding the Third Proportional to 234,789.75 and 314,538.75

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Solution

The third proportional to 234,789.75 and 314,538.75 is: 421,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,789.75 : 314,538.75 = 314,538.75 : x
  2. Step 2: Convert to fraction form
    234,789.75/314,538.75 = 314,538.75/x
  3. Step 3: Cross multiply
    234,789.75x = 314,538.75 × 314,538.75
  4. Step 4: Simplify right side
    234,789.75x = 98,934,625,251.56
  5. Step 5: Solve for x
    x = 98,934,625,251.56/234,789.75
  6. Step 6: Final answer
    x = 421,375.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.