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Finding the Third Proportional to 191,327.25 and 298,619.25

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Solution

The third proportional to 191,327.25 and 298,619.25 is: 466,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,327.25 : 298,619.25 = 298,619.25 : x
  2. Step 2: Convert to fraction form
    191,327.25/298,619.25 = 298,619.25/x
  3. Step 3: Cross multiply
    191,327.25x = 298,619.25 × 298,619.25
  4. Step 4: Simplify right side
    191,327.25x = 89,173,456,470.56
  5. Step 5: Solve for x
    x = 89,173,456,470.56/191,327.25
  6. Step 6: Final answer
    x = 466,078.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.