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Finding the Third Proportional to 119,616 and 185,244

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Solution

The third proportional to 119,616 and 185,244 is: 286,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,616 : 185,244 = 185,244 : x
  2. Step 2: Convert to fraction form
    119,616/185,244 = 185,244/x
  3. Step 3: Cross multiply
    119,616x = 185,244 × 185,244
  4. Step 4: Simplify right side
    119,616x = 34,315,339,536
  5. Step 5: Solve for x
    x = 34,315,339,536/119,616
  6. Step 6: Final answer
    x = 286,879.18

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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.