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Finding the Third Proportional to 175,927 and 283,264

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Solution

The third proportional to 175,927 and 283,264 is: 456,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,927 : 283,264 = 283,264 : x
  2. Step 2: Convert to fraction form
    175,927/283,264 = 283,264/x
  3. Step 3: Cross multiply
    175,927x = 283,264 × 283,264
  4. Step 4: Simplify right side
    175,927x = 80,238,493,696
  5. Step 5: Solve for x
    x = 80,238,493,696/175,927
  6. Step 6: Final answer
    x = 456,089.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.