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Finding the Third Proportional to 148,189.97 and 349,706.27

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Solution

The third proportional to 148,189.97 and 349,706.27 is: 825,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,189.97 : 349,706.27 = 349,706.27 : x
  2. Step 2: Convert to fraction form
    148,189.97/349,706.27 = 349,706.27/x
  3. Step 3: Cross multiply
    148,189.97x = 349,706.27 × 349,706.27
  4. Step 4: Simplify right side
    148,189.97x = 122,294,473,583.42
  5. Step 5: Solve for x
    x = 122,294,473,583.42/148,189.97
  6. Step 6: Final answer
    x = 825,254.70

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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.