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Finding the Third Proportional to 148,206 and 229,832

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Solution

The third proportional to 148,206 and 229,832 is: 356,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,206 : 229,832 = 229,832 : x
  2. Step 2: Convert to fraction form
    148,206/229,832 = 229,832/x
  3. Step 3: Cross multiply
    148,206x = 229,832 × 229,832
  4. Step 4: Simplify right side
    148,206x = 52,822,748,224
  5. Step 5: Solve for x
    x = 52,822,748,224/148,206
  6. Step 6: Final answer
    x = 356,414.37

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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.