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Finding the Third Proportional to 112,221 and 239,996.25

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Solution

The third proportional to 112,221 and 239,996.25 is: 513,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,221 : 239,996.25 = 239,996.25 : x
  2. Step 2: Convert to fraction form
    112,221/239,996.25 = 239,996.25/x
  3. Step 3: Cross multiply
    112,221x = 239,996.25 × 239,996.25
  4. Step 4: Simplify right side
    112,221x = 57,598,200,014.06
  5. Step 5: Solve for x
    x = 57,598,200,014.06/112,221
  6. Step 6: Final answer
    x = 513,256.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.