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Finding the Third Proportional to 181,189.13 and 266,455.69

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Solution

The third proportional to 181,189.13 and 266,455.69 is: 391,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,189.13 : 266,455.69 = 266,455.69 : x
  2. Step 2: Convert to fraction form
    181,189.13/266,455.69 = 266,455.69/x
  3. Step 3: Cross multiply
    181,189.13x = 266,455.69 × 266,455.69
  4. Step 4: Simplify right side
    181,189.13x = 70,998,633,401.10
  5. Step 5: Solve for x
    x = 70,998,633,401.10/181,189.13
  6. Step 6: Final answer
    x = 391,848.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.