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Finding the Third Proportional to 159,836.25 and 266,356.13

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Solution

The third proportional to 159,836.25 and 266,356.13 is: 443,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,836.25 : 266,356.13 = 266,356.13 : x
  2. Step 2: Convert to fraction form
    159,836.25/266,356.13 = 266,356.13/x
  3. Step 3: Cross multiply
    159,836.25x = 266,356.13 × 266,356.13
  4. Step 4: Simplify right side
    159,836.25x = 70,945,585,325.02
  5. Step 5: Solve for x
    x = 70,945,585,325.02/159,836.25
  6. Step 6: Final answer
    x = 443,864.18

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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.