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Finding the Third Proportional to 159,464 and 239,916

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Solution

The third proportional to 159,464 and 239,916 is: 360,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464 : 239,916 = 239,916 : x
  2. Step 2: Convert to fraction form
    159,464/239,916 = 239,916/x
  3. Step 3: Cross multiply
    159,464x = 239,916 × 239,916
  4. Step 4: Simplify right side
    159,464x = 57,559,687,056
  5. Step 5: Solve for x
    x = 57,559,687,056/159,464
  6. Step 6: Final answer
    x = 360,957.25

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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.