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Finding the Third Proportional to 148,292 and 229,811

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Solution

The third proportional to 148,292 and 229,811 is: 356,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,292 : 229,811 = 229,811 : x
  2. Step 2: Convert to fraction form
    148,292/229,811 = 229,811/x
  3. Step 3: Cross multiply
    148,292x = 229,811 × 229,811
  4. Step 4: Simplify right side
    148,292x = 52,813,095,721
  5. Step 5: Solve for x
    x = 52,813,095,721/148,292
  6. Step 6: Final answer
    x = 356,142.58

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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.