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Finding the Third Proportional to 179,962.31 and 416,623.78

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Solution

The third proportional to 179,962.31 and 416,623.78 is: 964,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,962.31 : 416,623.78 = 416,623.78 : x
  2. Step 2: Convert to fraction form
    179,962.31/416,623.78 = 416,623.78/x
  3. Step 3: Cross multiply
    179,962.31x = 416,623.78 × 416,623.78
  4. Step 4: Simplify right side
    179,962.31x = 173,575,375,103.05
  5. Step 5: Solve for x
    x = 173,575,375,103.05/179,962.31
  6. Step 6: Final answer
    x = 964,509.58

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.