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Finding the Third Proportional to 148,321.13 and 229,847.63

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Solution

The third proportional to 148,321.13 and 229,847.63 is: 356,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,321.13 : 229,847.63 = 229,847.63 : x
  2. Step 2: Convert to fraction form
    148,321.13/229,847.63 = 229,847.63/x
  3. Step 3: Cross multiply
    148,321.13x = 229,847.63 × 229,847.63
  4. Step 4: Simplify right side
    148,321.13x = 52,829,930,718.14
  5. Step 5: Solve for x
    x = 52,829,930,718.14/148,321.13
  6. Step 6: Final answer
    x = 356,186.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.