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Finding the Third Proportional to 175,322 and 284,847

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Solution

The third proportional to 175,322 and 284,847 is: 462,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,322 : 284,847 = 284,847 : x
  2. Step 2: Convert to fraction form
    175,322/284,847 = 284,847/x
  3. Step 3: Cross multiply
    175,322x = 284,847 × 284,847
  4. Step 4: Simplify right side
    175,322x = 81,137,813,409
  5. Step 5: Solve for x
    x = 81,137,813,409/175,322
  6. Step 6: Final answer
    x = 462,793.11

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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.