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Finding the Third Proportional to 239,551.50 and 359,334

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Solution

The third proportional to 239,551.50 and 359,334 is: 539,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,551.50 : 359,334 = 359,334 : x
  2. Step 2: Convert to fraction form
    239,551.50/359,334 = 359,334/x
  3. Step 3: Cross multiply
    239,551.50x = 359,334 × 359,334
  4. Step 4: Simplify right side
    239,551.50x = 129,120,923,556
  5. Step 5: Solve for x
    x = 129,120,923,556/239,551.50
  6. Step 6: Final answer
    x = 539,011.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.