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Finding the Third Proportional to 157,996 and 338,228

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Solution

The third proportional to 157,996 and 338,228 is: 724,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,996 : 338,228 = 338,228 : x
  2. Step 2: Convert to fraction form
    157,996/338,228 = 338,228/x
  3. Step 3: Cross multiply
    157,996x = 338,228 × 338,228
  4. Step 4: Simplify right side
    157,996x = 114,398,179,984
  5. Step 5: Solve for x
    x = 114,398,179,984/157,996
  6. Step 6: Final answer
    x = 724,057.44

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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.