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Finding the Third Proportional to 110,532 and 238,344

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Solution

The third proportional to 110,532 and 238,344 is: 513,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,532 : 238,344 = 238,344 : x
  2. Step 2: Convert to fraction form
    110,532/238,344 = 238,344/x
  3. Step 3: Cross multiply
    110,532x = 238,344 × 238,344
  4. Step 4: Simplify right side
    110,532x = 56,807,862,336
  5. Step 5: Solve for x
    x = 56,807,862,336/110,532
  6. Step 6: Final answer
    x = 513,949.47

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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.