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Finding the Third Proportional to 148,321.13 and 349,801.88

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Solution

The third proportional to 148,321.13 and 349,801.88 is: 824,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,321.13 : 349,801.88 = 349,801.88 : x
  2. Step 2: Convert to fraction form
    148,321.13/349,801.88 = 349,801.88/x
  3. Step 3: Cross multiply
    148,321.13x = 349,801.88 × 349,801.88
  4. Step 4: Simplify right side
    148,321.13x = 122,361,351,753.52
  5. Step 5: Solve for x
    x = 122,361,351,753.52/148,321.13
  6. Step 6: Final answer
    x = 824,975.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.