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Finding the Third Proportional to 147,139.88 and 327,591

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Solution

The third proportional to 147,139.88 and 327,591 is: 729,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,139.88 : 327,591 = 327,591 : x
  2. Step 2: Convert to fraction form
    147,139.88/327,591 = 327,591/x
  3. Step 3: Cross multiply
    147,139.88x = 327,591 × 327,591
  4. Step 4: Simplify right side
    147,139.88x = 107,315,863,281
  5. Step 5: Solve for x
    x = 107,315,863,281/147,139.88
  6. Step 6: Final answer
    x = 729,345.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.