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Finding the Third Proportional to 132,961.50 and 295,174.13

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Solution

The third proportional to 132,961.50 and 295,174.13 is: 655,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,961.50 : 295,174.13 = 295,174.13 : x
  2. Step 2: Convert to fraction form
    132,961.50/295,174.13 = 295,174.13/x
  3. Step 3: Cross multiply
    132,961.50x = 295,174.13 × 295,174.13
  4. Step 4: Simplify right side
    132,961.50x = 87,127,764,069.52
  5. Step 5: Solve for x
    x = 87,127,764,069.52/132,961.50
  6. Step 6: Final answer
    x = 655,285.66

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.