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Finding the Third Proportional to 155,896.31 and 251,072.16

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Solution

The third proportional to 155,896.31 and 251,072.16 is: 404,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,896.31 : 251,072.16 = 251,072.16 : x
  2. Step 2: Convert to fraction form
    155,896.31/251,072.16 = 251,072.16/x
  3. Step 3: Cross multiply
    155,896.31x = 251,072.16 × 251,072.16
  4. Step 4: Simplify right side
    155,896.31x = 63,037,227,644.02
  5. Step 5: Solve for x
    x = 63,037,227,644.02/155,896.31
  6. Step 6: Final answer
    x = 404,353.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.