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Finding the Third Proportional to 156,112 and 338,470

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Solution

The third proportional to 156,112 and 338,470 is: 733,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,112 : 338,470 = 338,470 : x
  2. Step 2: Convert to fraction form
    156,112/338,470 = 338,470/x
  3. Step 3: Cross multiply
    156,112x = 338,470 × 338,470
  4. Step 4: Simplify right side
    156,112x = 114,561,940,900
  5. Step 5: Solve for x
    x = 114,561,940,900/156,112
  6. Step 6: Final answer
    x = 733,844.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.