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Finding the Third Proportional to 159,703 and 239,559

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Solution

The third proportional to 159,703 and 239,559 is: 359,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,703 : 239,559 = 239,559 : x
  2. Step 2: Convert to fraction form
    159,703/239,559 = 239,559/x
  3. Step 3: Cross multiply
    159,703x = 239,559 × 239,559
  4. Step 4: Simplify right side
    159,703x = 57,388,514,481
  5. Step 5: Solve for x
    x = 57,388,514,481/159,703
  6. Step 6: Final answer
    x = 359,345.25

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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.