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Finding the Third Proportional to 148,230 and 329,618.11

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Solution

The third proportional to 148,230 and 329,618.11 is: 732,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,230 : 329,618.11 = 329,618.11 : x
  2. Step 2: Convert to fraction form
    148,230/329,618.11 = 329,618.11/x
  3. Step 3: Cross multiply
    148,230x = 329,618.11 × 329,618.11
  4. Step 4: Simplify right side
    148,230x = 108,648,098,027.95
  5. Step 5: Solve for x
    x = 108,648,098,027.95/148,230
  6. Step 6: Final answer
    x = 732,969.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.