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Finding the Third Proportional to 186,987 and 262,377

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Solution

The third proportional to 186,987 and 262,377 is: 368,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987 : 262,377 = 262,377 : x
  2. Step 2: Convert to fraction form
    186,987/262,377 = 262,377/x
  3. Step 3: Cross multiply
    186,987x = 262,377 × 262,377
  4. Step 4: Simplify right side
    186,987x = 68,841,690,129
  5. Step 5: Solve for x
    x = 68,841,690,129/186,987
  6. Step 6: Final answer
    x = 368,162.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.