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Finding the Third Proportional to 181,217.25 and 409,425.75

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Solution

The third proportional to 181,217.25 and 409,425.75 is: 925,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,217.25 : 409,425.75 = 409,425.75 : x
  2. Step 2: Convert to fraction form
    181,217.25/409,425.75 = 409,425.75/x
  3. Step 3: Cross multiply
    181,217.25x = 409,425.75 × 409,425.75
  4. Step 4: Simplify right side
    181,217.25x = 167,629,444,763.06
  5. Step 5: Solve for x
    x = 167,629,444,763.06/181,217.25
  6. Step 6: Final answer
    x = 925,019.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.