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Finding the Third Proportional to 110,851 and 238,332

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Solution

The third proportional to 110,851 and 238,332 is: 512,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,851 : 238,332 = 238,332 : x
  2. Step 2: Convert to fraction form
    110,851/238,332 = 238,332/x
  3. Step 3: Cross multiply
    110,851x = 238,332 × 238,332
  4. Step 4: Simplify right side
    110,851x = 56,802,142,224
  5. Step 5: Solve for x
    x = 56,802,142,224/110,851
  6. Step 6: Final answer
    x = 512,418.85

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