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Finding the Third Proportional to 132,627.38 and 271,382.63

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Solution

The third proportional to 132,627.38 and 271,382.63 is: 555,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627.38 : 271,382.63 = 271,382.63 : x
  2. Step 2: Convert to fraction form
    132,627.38/271,382.63 = 271,382.63/x
  3. Step 3: Cross multiply
    132,627.38x = 271,382.63 × 271,382.63
  4. Step 4: Simplify right side
    132,627.38x = 73,648,529,151.89
  5. Step 5: Solve for x
    x = 73,648,529,151.89/132,627.38
  6. Step 6: Final answer
    x = 555,304.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.