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Finding the Third Proportional to 133,614 and 200,597

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Solution

The third proportional to 133,614 and 200,597 is: 301,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 200,597 = 200,597 : x
  2. Step 2: Convert to fraction form
    133,614/200,597 = 200,597/x
  3. Step 3: Cross multiply
    133,614x = 200,597 × 200,597
  4. Step 4: Simplify right side
    133,614x = 40,239,156,409
  5. Step 5: Solve for x
    x = 40,239,156,409/133,614
  6. Step 6: Final answer
    x = 301,159.73

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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.