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Finding the Third Proportional to 187,680 and 291,043

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Solution

The third proportional to 187,680 and 291,043 is: 451,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,680 : 291,043 = 291,043 : x
  2. Step 2: Convert to fraction form
    187,680/291,043 = 291,043/x
  3. Step 3: Cross multiply
    187,680x = 291,043 × 291,043
  4. Step 4: Simplify right side
    187,680x = 84,706,027,849
  5. Step 5: Solve for x
    x = 84,706,027,849/187,680
  6. Step 6: Final answer
    x = 451,332.20

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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.