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Finding the Third Proportional to 186,684 and 281,376

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Solution

The third proportional to 186,684 and 281,376 is: 424,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684 : 281,376 = 281,376 : x
  2. Step 2: Convert to fraction form
    186,684/281,376 = 281,376/x
  3. Step 3: Cross multiply
    186,684x = 281,376 × 281,376
  4. Step 4: Simplify right side
    186,684x = 79,172,453,376
  5. Step 5: Solve for x
    x = 79,172,453,376/186,684
  6. Step 6: Final answer
    x = 424,098.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.