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Finding the Third Proportional to 186,776 and 279,504

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Solution

The third proportional to 186,776 and 279,504 is: 418,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776 : 279,504 = 279,504 : x
  2. Step 2: Convert to fraction form
    186,776/279,504 = 279,504/x
  3. Step 3: Cross multiply
    186,776x = 279,504 × 279,504
  4. Step 4: Simplify right side
    186,776x = 78,122,486,016
  5. Step 5: Solve for x
    x = 78,122,486,016/186,776
  6. Step 6: Final answer
    x = 418,268.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.