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Finding the Third Proportional to 154,735.31 and 338,995.13

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Solution

The third proportional to 154,735.31 and 338,995.13 is: 742,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,735.31 : 338,995.13 = 338,995.13 : x
  2. Step 2: Convert to fraction form
    154,735.31/338,995.13 = 338,995.13/x
  3. Step 3: Cross multiply
    154,735.31x = 338,995.13 × 338,995.13
  4. Step 4: Simplify right side
    154,735.31x = 114,917,694,773.77
  5. Step 5: Solve for x
    x = 114,917,694,773.77/154,735.31
  6. Step 6: Final answer
    x = 742,672.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.