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Finding the Third Proportional to 132,900.12 and 291,634.17

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Solution

The third proportional to 132,900.12 and 291,634.17 is: 639,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,900.12 : 291,634.17 = 291,634.17 : x
  2. Step 2: Convert to fraction form
    132,900.12/291,634.17 = 291,634.17/x
  3. Step 3: Cross multiply
    132,900.12x = 291,634.17 × 291,634.17
  4. Step 4: Simplify right side
    132,900.12x = 85,050,490,205.22
  5. Step 5: Solve for x
    x = 85,050,490,205.22/132,900.12
  6. Step 6: Final answer
    x = 639,957.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.