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Finding the Third Proportional to 148,132.13 and 328,294.13

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Solution

The third proportional to 148,132.13 and 328,294.13 is: 727,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,132.13 : 328,294.13 = 328,294.13 : x
  2. Step 2: Convert to fraction form
    148,132.13/328,294.13 = 328,294.13/x
  3. Step 3: Cross multiply
    148,132.13x = 328,294.13 × 328,294.13
  4. Step 4: Simplify right side
    148,132.13x = 107,777,032,509.52
  5. Step 5: Solve for x
    x = 107,777,032,509.52/148,132.13
  6. Step 6: Final answer
    x = 727,573.66

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Why These Related Problems?

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