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Finding the Third Proportional to 186,901 and 279,577

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Solution

The third proportional to 186,901 and 279,577 is: 418,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,901 : 279,577 = 279,577 : x
  2. Step 2: Convert to fraction form
    186,901/279,577 = 279,577/x
  3. Step 3: Cross multiply
    186,901x = 279,577 × 279,577
  4. Step 4: Simplify right side
    186,901x = 78,163,298,929
  5. Step 5: Solve for x
    x = 78,163,298,929/186,901
  6. Step 6: Final answer
    x = 418,206.96

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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.