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Finding the Third Proportional to 181,824.75 and 272,985.19

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Solution

The third proportional to 181,824.75 and 272,985.19 is: 409,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,824.75 : 272,985.19 = 272,985.19 : x
  2. Step 2: Convert to fraction form
    181,824.75/272,985.19 = 272,985.19/x
  3. Step 3: Cross multiply
    181,824.75x = 272,985.19 × 272,985.19
  4. Step 4: Simplify right side
    181,824.75x = 74,520,912,594.41
  5. Step 5: Solve for x
    x = 74,520,912,594.41/181,824.75
  6. Step 6: Final answer
    x = 409,850.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.