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Finding the Third Proportional to 234,207.50 and 353,862.50

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Solution

The third proportional to 234,207.50 and 353,862.50 is: 534,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,207.50 : 353,862.50 = 353,862.50 : x
  2. Step 2: Convert to fraction form
    234,207.50/353,862.50 = 353,862.50/x
  3. Step 3: Cross multiply
    234,207.50x = 353,862.50 × 353,862.50
  4. Step 4: Simplify right side
    234,207.50x = 125,218,668,906.25
  5. Step 5: Solve for x
    x = 125,218,668,906.25/234,207.50
  6. Step 6: Final answer
    x = 534,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.