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Finding the Third Proportional to 204,084 and 432,876

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Solution

The third proportional to 204,084 and 432,876 is: 918,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,084 : 432,876 = 432,876 : x
  2. Step 2: Convert to fraction form
    204,084/432,876 = 432,876/x
  3. Step 3: Cross multiply
    204,084x = 432,876 × 432,876
  4. Step 4: Simplify right side
    204,084x = 187,381,631,376
  5. Step 5: Solve for x
    x = 187,381,631,376/204,084
  6. Step 6: Final answer
    x = 918,159.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.