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Finding the Third Proportional to 153,517.50 and 332,003

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Solution

The third proportional to 153,517.50 and 332,003 is: 718,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,517.50 : 332,003 = 332,003 : x
  2. Step 2: Convert to fraction form
    153,517.50/332,003 = 332,003/x
  3. Step 3: Cross multiply
    153,517.50x = 332,003 × 332,003
  4. Step 4: Simplify right side
    153,517.50x = 110,225,992,009
  5. Step 5: Solve for x
    x = 110,225,992,009/153,517.50
  6. Step 6: Final answer
    x = 718,002.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.