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Finding the Third Proportional to 159,835 and 240,163

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Solution

The third proportional to 159,835 and 240,163 is: 360,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,835 : 240,163 = 240,163 : x
  2. Step 2: Convert to fraction form
    159,835/240,163 = 240,163/x
  3. Step 3: Cross multiply
    159,835x = 240,163 × 240,163
  4. Step 4: Simplify right side
    159,835x = 57,678,266,569
  5. Step 5: Solve for x
    x = 57,678,266,569/159,835
  6. Step 6: Final answer
    x = 360,861.30

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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.