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Finding the Third Proportional to 186,792 and 409,872

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Solution

The third proportional to 186,792 and 409,872 is: 899,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,792 : 409,872 = 409,872 : x
  2. Step 2: Convert to fraction form
    186,792/409,872 = 409,872/x
  3. Step 3: Cross multiply
    186,792x = 409,872 × 409,872
  4. Step 4: Simplify right side
    186,792x = 167,995,056,384
  5. Step 5: Solve for x
    x = 167,995,056,384/186,792
  6. Step 6: Final answer
    x = 899,369.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.