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Finding the Third Proportional to 147,025.13 and 318,940.88

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Solution

The third proportional to 147,025.13 and 318,940.88 is: 691,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,025.13 : 318,940.88 = 318,940.88 : x
  2. Step 2: Convert to fraction form
    147,025.13/318,940.88 = 318,940.88/x
  3. Step 3: Cross multiply
    147,025.13x = 318,940.88 × 318,940.88
  4. Step 4: Simplify right side
    147,025.13x = 101,723,281,745.77
  5. Step 5: Solve for x
    x = 101,723,281,745.77/147,025.13
  6. Step 6: Final answer
    x = 691,876.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.