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Finding the Third Proportional to 131,044.50 and 207,825.75

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Solution

The third proportional to 131,044.50 and 207,825.75 is: 329,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,044.50 : 207,825.75 = 207,825.75 : x
  2. Step 2: Convert to fraction form
    131,044.50/207,825.75 = 207,825.75/x
  3. Step 3: Cross multiply
    131,044.50x = 207,825.75 × 207,825.75
  4. Step 4: Simplify right side
    131,044.50x = 43,191,542,363.06
  5. Step 5: Solve for x
    x = 43,191,542,363.06/131,044.50
  6. Step 6: Final answer
    x = 329,594.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.