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Finding the Third Proportional to 187,158.38 and 405,847.13

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Solution

The third proportional to 187,158.38 and 405,847.13 is: 880,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,158.38 : 405,847.13 = 405,847.13 : x
  2. Step 2: Convert to fraction form
    187,158.38/405,847.13 = 405,847.13/x
  3. Step 3: Cross multiply
    187,158.38x = 405,847.13 × 405,847.13
  4. Step 4: Simplify right side
    187,158.38x = 164,711,888,870.77
  5. Step 5: Solve for x
    x = 164,711,888,870.77/187,158.38
  6. Step 6: Final answer
    x = 880,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.