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Finding the Third Proportional to 117,023 and 251,822

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Solution

The third proportional to 117,023 and 251,822 is: 541,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,023 : 251,822 = 251,822 : x
  2. Step 2: Convert to fraction form
    117,023/251,822 = 251,822/x
  3. Step 3: Cross multiply
    117,023x = 251,822 × 251,822
  4. Step 4: Simplify right side
    117,023x = 63,414,319,684
  5. Step 5: Solve for x
    x = 63,414,319,684/117,023
  6. Step 6: Final answer
    x = 541,896.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.