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Finding the Third Proportional to 148,210.59 and 221,910.47

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Solution

The third proportional to 148,210.59 and 221,910.47 is: 332,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,210.59 : 221,910.47 = 221,910.47 : x
  2. Step 2: Convert to fraction form
    148,210.59/221,910.47 = 221,910.47/x
  3. Step 3: Cross multiply
    148,210.59x = 221,910.47 × 221,910.47
  4. Step 4: Simplify right side
    148,210.59x = 49,244,256,140.84
  5. Step 5: Solve for x
    x = 49,244,256,140.84/148,210.59
  6. Step 6: Final answer
    x = 332,258.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.