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Finding the Third Proportional to 185,962 and 402,826

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Solution

The third proportional to 185,962 and 402,826 is: 872,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,962 : 402,826 = 402,826 : x
  2. Step 2: Convert to fraction form
    185,962/402,826 = 402,826/x
  3. Step 3: Cross multiply
    185,962x = 402,826 × 402,826
  4. Step 4: Simplify right side
    185,962x = 162,268,786,276
  5. Step 5: Solve for x
    x = 162,268,786,276/185,962
  6. Step 6: Final answer
    x = 872,591.10

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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.