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Finding the Third Proportional to 132,622.88 and 271,373.63

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Solution

The third proportional to 132,622.88 and 271,373.63 is: 555,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,622.88 : 271,373.63 = 271,373.63 : x
  2. Step 2: Convert to fraction form
    132,622.88/271,373.63 = 271,373.63/x
  3. Step 3: Cross multiply
    132,622.88x = 271,373.63 × 271,373.63
  4. Step 4: Simplify right side
    132,622.88x = 73,643,644,345.64
  5. Step 5: Solve for x
    x = 73,643,644,345.64/132,622.88
  6. Step 6: Final answer
    x = 555,286.14

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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.