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Finding the Third Proportional to 185,928.75 and 402,769.13

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Solution

The third proportional to 185,928.75 and 402,769.13 is: 872,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,928.75 : 402,769.13 = 402,769.13 : x
  2. Step 2: Convert to fraction form
    185,928.75/402,769.13 = 402,769.13/x
  3. Step 3: Cross multiply
    185,928.75x = 402,769.13 × 402,769.13
  4. Step 4: Simplify right side
    185,928.75x = 162,222,968,053.27
  5. Step 5: Solve for x
    x = 162,222,968,053.27/185,928.75
  6. Step 6: Final answer
    x = 872,500.72

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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.