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Finding the Third Proportional to 117,832 and 254,344

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Solution

The third proportional to 117,832 and 254,344 is: 549,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,832 : 254,344 = 254,344 : x
  2. Step 2: Convert to fraction form
    117,832/254,344 = 254,344/x
  3. Step 3: Cross multiply
    117,832x = 254,344 × 254,344
  4. Step 4: Simplify right side
    117,832x = 64,690,870,336
  5. Step 5: Solve for x
    x = 64,690,870,336/117,832
  6. Step 6: Final answer
    x = 549,009.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.