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Finding the Third Proportional to 272,182.50 and 408,546

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Solution

The third proportional to 272,182.50 and 408,546 is: 613,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,182.50 : 408,546 = 408,546 : x
  2. Step 2: Convert to fraction form
    272,182.50/408,546 = 408,546/x
  3. Step 3: Cross multiply
    272,182.50x = 408,546 × 408,546
  4. Step 4: Simplify right side
    272,182.50x = 166,909,834,116
  5. Step 5: Solve for x
    x = 166,909,834,116/272,182.50
  6. Step 6: Final answer
    x = 613,227.65

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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.