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Finding the Third Proportional to 272,184 and 408,548.25

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Solution

The third proportional to 272,184 and 408,548.25 is: 613,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,184 : 408,548.25 = 408,548.25 : x
  2. Step 2: Convert to fraction form
    272,184/408,548.25 = 408,548.25/x
  3. Step 3: Cross multiply
    272,184x = 408,548.25 × 408,548.25
  4. Step 4: Simplify right side
    272,184x = 166,911,672,578.06
  5. Step 5: Solve for x
    x = 166,911,672,578.06/272,184
  6. Step 6: Final answer
    x = 613,231.02

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