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Finding the Third Proportional to 240,204 and 359,442

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Solution

The third proportional to 240,204 and 359,442 is: 537,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,204 : 359,442 = 359,442 : x
  2. Step 2: Convert to fraction form
    240,204/359,442 = 359,442/x
  3. Step 3: Cross multiply
    240,204x = 359,442 × 359,442
  4. Step 4: Simplify right side
    240,204x = 129,198,551,364
  5. Step 5: Solve for x
    x = 129,198,551,364/240,204
  6. Step 6: Final answer
    x = 537,870.11

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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.