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Finding the Third Proportional to 159,662 and 239,516

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Solution

The third proportional to 159,662 and 239,516 is: 359,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,662 : 239,516 = 239,516 : x
  2. Step 2: Convert to fraction form
    159,662/239,516 = 239,516/x
  3. Step 3: Cross multiply
    159,662x = 239,516 × 239,516
  4. Step 4: Simplify right side
    159,662x = 57,367,914,256
  5. Step 5: Solve for x
    x = 57,367,914,256/159,662
  6. Step 6: Final answer
    x = 359,308.50

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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.