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Finding the Third Proportional to 132,210.98 and 271,461.38

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Solution

The third proportional to 132,210.98 and 271,461.38 is: 557,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,210.98 : 271,461.38 = 271,461.38 : x
  2. Step 2: Convert to fraction form
    132,210.98/271,461.38 = 271,461.38/x
  3. Step 3: Cross multiply
    132,210.98x = 271,461.38 × 271,461.38
  4. Step 4: Simplify right side
    132,210.98x = 73,691,278,116.89
  5. Step 5: Solve for x
    x = 73,691,278,116.89/132,210.98
  6. Step 6: Final answer
    x = 557,376.37

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Why These Related Problems?

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