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Finding the Third Proportional to 180,727.25 and 392,610

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Solution

The third proportional to 180,727.25 and 392,610 is: 852,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,727.25 : 392,610 = 392,610 : x
  2. Step 2: Convert to fraction form
    180,727.25/392,610 = 392,610/x
  3. Step 3: Cross multiply
    180,727.25x = 392,610 × 392,610
  4. Step 4: Simplify right side
    180,727.25x = 154,142,612,100
  5. Step 5: Solve for x
    x = 154,142,612,100/180,727.25
  6. Step 6: Final answer
    x = 852,901.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.