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Finding the Third Proportional to 232,451 and 359,195

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Solution

The third proportional to 232,451 and 359,195 is: 555,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,451 : 359,195 = 359,195 : x
  2. Step 2: Convert to fraction form
    232,451/359,195 = 359,195/x
  3. Step 3: Cross multiply
    232,451x = 359,195 × 359,195
  4. Step 4: Simplify right side
    232,451x = 129,021,048,025
  5. Step 5: Solve for x
    x = 129,021,048,025/232,451
  6. Step 6: Final answer
    x = 555,046.22

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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.