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Finding the Third Proportional to 148,306.50 and 349,941

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Solution

The third proportional to 148,306.50 and 349,941 is: 825,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,306.50 : 349,941 = 349,941 : x
  2. Step 2: Convert to fraction form
    148,306.50/349,941 = 349,941/x
  3. Step 3: Cross multiply
    148,306.50x = 349,941 × 349,941
  4. Step 4: Simplify right side
    148,306.50x = 122,458,703,481
  5. Step 5: Solve for x
    x = 122,458,703,481/148,306.50
  6. Step 6: Final answer
    x = 825,713.66

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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.