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Finding the Third Proportional to 185,761 and 407,119

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Solution

The third proportional to 185,761 and 407,119 is: 892,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,761 : 407,119 = 407,119 : x
  2. Step 2: Convert to fraction form
    185,761/407,119 = 407,119/x
  3. Step 3: Cross multiply
    185,761x = 407,119 × 407,119
  4. Step 4: Simplify right side
    185,761x = 165,745,880,161
  5. Step 5: Solve for x
    x = 165,745,880,161/185,761
  6. Step 6: Final answer
    x = 892,253.38

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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.