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Finding the Third Proportional to 117,796 and 251,468

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Solution

The third proportional to 117,796 and 251,468 is: 536,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796 : 251,468 = 251,468 : x
  2. Step 2: Convert to fraction form
    117,796/251,468 = 251,468/x
  3. Step 3: Cross multiply
    117,796x = 251,468 × 251,468
  4. Step 4: Simplify right side
    117,796x = 63,236,155,024
  5. Step 5: Solve for x
    x = 63,236,155,024/117,796
  6. Step 6: Final answer
    x = 536,827.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.