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Finding the Third Proportional to 154,998.56 and 234,832.92

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Solution

The third proportional to 154,998.56 and 234,832.92 is: 355,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,998.56 : 234,832.92 = 234,832.92 : x
  2. Step 2: Convert to fraction form
    154,998.56/234,832.92 = 234,832.92/x
  3. Step 3: Cross multiply
    154,998.56x = 234,832.92 × 234,832.92
  4. Step 4: Simplify right side
    154,998.56x = 55,146,501,196.35
  5. Step 5: Solve for x
    x = 55,146,501,196.35/154,998.56
  6. Step 6: Final answer
    x = 355,787.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.