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Finding the Third Proportional to 159,957 and 240,345

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Solution

The third proportional to 159,957 and 240,345 is: 361,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957 : 240,345 = 240,345 : x
  2. Step 2: Convert to fraction form
    159,957/240,345 = 240,345/x
  3. Step 3: Cross multiply
    159,957x = 240,345 × 240,345
  4. Step 4: Simplify right side
    159,957x = 57,765,719,025
  5. Step 5: Solve for x
    x = 57,765,719,025/159,957
  6. Step 6: Final answer
    x = 361,132.80

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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.