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Finding the Third Proportional to 85,802 and 186,376

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Solution

The third proportional to 85,802 and 186,376 is: 404,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,802 : 186,376 = 186,376 : x
  2. Step 2: Convert to fraction form
    85,802/186,376 = 186,376/x
  3. Step 3: Cross multiply
    85,802x = 186,376 × 186,376
  4. Step 4: Simplify right side
    85,802x = 34,736,013,376
  5. Step 5: Solve for x
    x = 34,736,013,376/85,802
  6. Step 6: Final answer
    x = 404,839.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.