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Finding the Third Proportional to 187.13 and 410.81

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Solution

The third proportional to 187.13 and 410.81 is: 901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 410.81 = 410.81 : x
  2. Step 2: Convert to fraction form
    187.13/410.81 = 410.81/x
  3. Step 3: Cross multiply
    187.13x = 410.81 × 410.81
  4. Step 4: Simplify right side
    187.13x = 168,766.91
  5. Step 5: Solve for x
    x = 168,766.91/187.13
  6. Step 6: Final answer
    x = 901.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.