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Finding the Third Proportional to 117,382 and 251,612

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Solution

The third proportional to 117,382 and 251,612 is: 539,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,382 : 251,612 = 251,612 : x
  2. Step 2: Convert to fraction form
    117,382/251,612 = 251,612/x
  3. Step 3: Cross multiply
    117,382x = 251,612 × 251,612
  4. Step 4: Simplify right side
    117,382x = 63,308,598,544
  5. Step 5: Solve for x
    x = 63,308,598,544/117,382
  6. Step 6: Final answer
    x = 539,338.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.