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Finding the Third Proportional to 147,385.13 and 315,799.88

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Solution

The third proportional to 147,385.13 and 315,799.88 is: 676,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,385.13 : 315,799.88 = 315,799.88 : x
  2. Step 2: Convert to fraction form
    147,385.13/315,799.88 = 315,799.88/x
  3. Step 3: Cross multiply
    147,385.13x = 315,799.88 × 315,799.88
  4. Step 4: Simplify right side
    147,385.13x = 99,729,561,050.02
  5. Step 5: Solve for x
    x = 99,729,561,050.02/147,385.13
  6. Step 6: Final answer
    x = 676,659.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.