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Finding the Third Proportional to 185,724.14 and 407,049.68

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Solution

The third proportional to 185,724.14 and 407,049.68 is: 892,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,724.14 : 407,049.68 = 407,049.68 : x
  2. Step 2: Convert to fraction form
    185,724.14/407,049.68 = 407,049.68/x
  3. Step 3: Cross multiply
    185,724.14x = 407,049.68 × 407,049.68
  4. Step 4: Simplify right side
    185,724.14x = 165,689,441,733.70
  5. Step 5: Solve for x
    x = 165,689,441,733.70/185,724.14
  6. Step 6: Final answer
    x = 892,126.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.