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Finding the Third Proportional to 148,385.67 and 229,908.38

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Solution

The third proportional to 148,385.67 and 229,908.38 is: 356,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,385.67 : 229,908.38 = 229,908.38 : x
  2. Step 2: Convert to fraction form
    148,385.67/229,908.38 = 229,908.38/x
  3. Step 3: Cross multiply
    148,385.67x = 229,908.38 × 229,908.38
  4. Step 4: Simplify right side
    148,385.67x = 52,857,860,895.14
  5. Step 5: Solve for x
    x = 52,857,860,895.14/148,385.67
  6. Step 6: Final answer
    x = 356,219.44

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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.