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Finding the Third Proportional to 232,442.97 and 359,183.51

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Solution

The third proportional to 232,442.97 and 359,183.51 is: 555,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,442.97 : 359,183.51 = 359,183.51 : x
  2. Step 2: Convert to fraction form
    232,442.97/359,183.51 = 359,183.51/x
  3. Step 3: Cross multiply
    232,442.97x = 359,183.51 × 359,183.51
  4. Step 4: Simplify right side
    232,442.97x = 129,012,797,282.90
  5. Step 5: Solve for x
    x = 129,012,797,282.90/232,442.97
  6. Step 6: Final answer
    x = 555,029.90

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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.