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Finding the Third Proportional to 148,214.81 and 329,587.73

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Solution

The third proportional to 148,214.81 and 329,587.73 is: 732,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214.81 : 329,587.73 = 329,587.73 : x
  2. Step 2: Convert to fraction form
    148,214.81/329,587.73 = 329,587.73/x
  3. Step 3: Cross multiply
    148,214.81x = 329,587.73 × 329,587.73
  4. Step 4: Simplify right side
    148,214.81x = 108,628,074,650.45
  5. Step 5: Solve for x
    x = 108,628,074,650.45/148,214.81
  6. Step 6: Final answer
    x = 732,909.71

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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.