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Finding the Third Proportional to 186,081 and 403,668

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Solution

The third proportional to 186,081 and 403,668 is: 875,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,081 : 403,668 = 403,668 : x
  2. Step 2: Convert to fraction form
    186,081/403,668 = 403,668/x
  3. Step 3: Cross multiply
    186,081x = 403,668 × 403,668
  4. Step 4: Simplify right side
    186,081x = 162,947,854,224
  5. Step 5: Solve for x
    x = 162,947,854,224/186,081
  6. Step 6: Final answer
    x = 875,682.39

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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.