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Finding the Third Proportional to 186,899 and 279,574

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Solution

The third proportional to 186,899 and 279,574 is: 418,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,899 : 279,574 = 279,574 : x
  2. Step 2: Convert to fraction form
    186,899/279,574 = 279,574/x
  3. Step 3: Cross multiply
    186,899x = 279,574 × 279,574
  4. Step 4: Simplify right side
    186,899x = 78,161,621,476
  5. Step 5: Solve for x
    x = 78,161,621,476/186,899
  6. Step 6: Final answer
    x = 418,202.46

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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.