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Finding the Third Proportional to 159,182 and 240,822

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Solution

The third proportional to 159,182 and 240,822 is: 364,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,182 : 240,822 = 240,822 : x
  2. Step 2: Convert to fraction form
    159,182/240,822 = 240,822/x
  3. Step 3: Cross multiply
    159,182x = 240,822 × 240,822
  4. Step 4: Simplify right side
    159,182x = 57,995,235,684
  5. Step 5: Solve for x
    x = 57,995,235,684/159,182
  6. Step 6: Final answer
    x = 364,332.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.