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Finding the Third Proportional to 140,561 and 200,329

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Solution

The third proportional to 140,561 and 200,329 is: 285,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,561 : 200,329 = 200,329 : x
  2. Step 2: Convert to fraction form
    140,561/200,329 = 200,329/x
  3. Step 3: Cross multiply
    140,561x = 200,329 × 200,329
  4. Step 4: Simplify right side
    140,561x = 40,131,708,241
  5. Step 5: Solve for x
    x = 40,131,708,241/140,561
  6. Step 6: Final answer
    x = 285,510.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.