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Finding the Third Proportional to 131,482 and 200,499

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Solution

The third proportional to 131,482 and 200,499 is: 305,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,482 : 200,499 = 200,499 : x
  2. Step 2: Convert to fraction form
    131,482/200,499 = 200,499/x
  3. Step 3: Cross multiply
    131,482x = 200,499 × 200,499
  4. Step 4: Simplify right side
    131,482x = 40,199,849,001
  5. Step 5: Solve for x
    x = 40,199,849,001/131,482
  6. Step 6: Final answer
    x = 305,744.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.