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Finding the Third Proportional to 148,321.13 and 349,984.13

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Solution

The third proportional to 148,321.13 and 349,984.13 is: 825,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,321.13 : 349,984.13 = 349,984.13 : x
  2. Step 2: Convert to fraction form
    148,321.13/349,984.13 = 349,984.13/x
  3. Step 3: Cross multiply
    148,321.13x = 349,984.13 × 349,984.13
  4. Step 4: Simplify right side
    148,321.13x = 122,488,887,752.02
  5. Step 5: Solve for x
    x = 122,488,887,752.02/148,321.13
  6. Step 6: Final answer
    x = 825,835.75

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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.