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Finding the Third Proportional to 175,302 and 284,811

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Solution

The third proportional to 175,302 and 284,811 is: 462,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 284,811 = 284,811 : x
  2. Step 2: Convert to fraction form
    175,302/284,811 = 284,811/x
  3. Step 3: Cross multiply
    175,302x = 284,811 × 284,811
  4. Step 4: Simplify right side
    175,302x = 81,117,305,721
  5. Step 5: Solve for x
    x = 81,117,305,721/175,302
  6. Step 6: Final answer
    x = 462,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.