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Finding the Third Proportional to 152,809.31 and 241,912.97

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Solution

The third proportional to 152,809.31 and 241,912.97 is: 382,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.31 : 241,912.97 = 241,912.97 : x
  2. Step 2: Convert to fraction form
    152,809.31/241,912.97 = 241,912.97/x
  3. Step 3: Cross multiply
    152,809.31x = 241,912.97 × 241,912.97
  4. Step 4: Simplify right side
    152,809.31x = 58,521,884,449.44
  5. Step 5: Solve for x
    x = 58,521,884,449.44/152,809.31
  6. Step 6: Final answer
    x = 382,973.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.