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Finding the Third Proportional to 179,744.06 and 416,145.09

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Solution

The third proportional to 179,744.06 and 416,145.09 is: 963,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,744.06 : 416,145.09 = 416,145.09 : x
  2. Step 2: Convert to fraction form
    179,744.06/416,145.09 = 416,145.09/x
  3. Step 3: Cross multiply
    179,744.06x = 416,145.09 × 416,145.09
  4. Step 4: Simplify right side
    179,744.06x = 173,176,739,052.20
  5. Step 5: Solve for x
    x = 173,176,739,052.20/179,744.06
  6. Step 6: Final answer
    x = 963,462.92

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Why These Related Problems?

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