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Finding the Third Proportional to 159,836.50 and 266,356.50

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Solution

The third proportional to 159,836.50 and 266,356.50 is: 443,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,836.50 : 266,356.50 = 266,356.50 : x
  2. Step 2: Convert to fraction form
    159,836.50/266,356.50 = 266,356.50/x
  3. Step 3: Cross multiply
    159,836.50x = 266,356.50 × 266,356.50
  4. Step 4: Simplify right side
    159,836.50x = 70,945,785,092.25
  5. Step 5: Solve for x
    x = 70,945,785,092.25/159,836.50
  6. Step 6: Final answer
    x = 443,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.