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Finding the Third Proportional to 117,612 and 256,372

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Solution

The third proportional to 117,612 and 256,372 is: 558,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,612 : 256,372 = 256,372 : x
  2. Step 2: Convert to fraction form
    117,612/256,372 = 256,372/x
  3. Step 3: Cross multiply
    117,612x = 256,372 × 256,372
  4. Step 4: Simplify right side
    117,612x = 65,726,602,384
  5. Step 5: Solve for x
    x = 65,726,602,384/117,612
  6. Step 6: Final answer
    x = 558,842.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.