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Finding the Third Proportional to 187,747.50 and 291,105

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Solution

The third proportional to 187,747.50 and 291,105 is: 451,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,747.50 : 291,105 = 291,105 : x
  2. Step 2: Convert to fraction form
    187,747.50/291,105 = 291,105/x
  3. Step 3: Cross multiply
    187,747.50x = 291,105 × 291,105
  4. Step 4: Simplify right side
    187,747.50x = 84,742,121,025
  5. Step 5: Solve for x
    x = 84,742,121,025/187,747.50
  6. Step 6: Final answer
    x = 451,362.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.