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Finding the Third Proportional to 119,668 and 185,278

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Solution

The third proportional to 119,668 and 185,278 is: 286,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668 : 185,278 = 185,278 : x
  2. Step 2: Convert to fraction form
    119,668/185,278 = 185,278/x
  3. Step 3: Cross multiply
    119,668x = 185,278 × 185,278
  4. Step 4: Simplify right side
    119,668x = 34,327,937,284
  5. Step 5: Solve for x
    x = 34,327,937,284/119,668
  6. Step 6: Final answer
    x = 286,859.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.