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Finding the Third Proportional to 186,812 and 284,540

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Solution

The third proportional to 186,812 and 284,540 is: 433,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,812 : 284,540 = 284,540 : x
  2. Step 2: Convert to fraction form
    186,812/284,540 = 284,540/x
  3. Step 3: Cross multiply
    186,812x = 284,540 × 284,540
  4. Step 4: Simplify right side
    186,812x = 80,963,011,600
  5. Step 5: Solve for x
    x = 80,963,011,600/186,812
  6. Step 6: Final answer
    x = 433,392.99

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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.