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Finding the Third Proportional to 188,181 and 403,650

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Solution

The third proportional to 188,181 and 403,650 is: 865,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,181 : 403,650 = 403,650 : x
  2. Step 2: Convert to fraction form
    188,181/403,650 = 403,650/x
  3. Step 3: Cross multiply
    188,181x = 403,650 × 403,650
  4. Step 4: Simplify right side
    188,181x = 162,933,322,500
  5. Step 5: Solve for x
    x = 162,933,322,500/188,181
  6. Step 6: Final answer
    x = 865,833.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.