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Finding the Third Proportional to 119,011 and 259,756

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Solution

The third proportional to 119,011 and 259,756 is: 566,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,011 : 259,756 = 259,756 : x
  2. Step 2: Convert to fraction form
    119,011/259,756 = 259,756/x
  3. Step 3: Cross multiply
    119,011x = 259,756 × 259,756
  4. Step 4: Simplify right side
    119,011x = 67,473,179,536
  5. Step 5: Solve for x
    x = 67,473,179,536/119,011
  6. Step 6: Final answer
    x = 566,949.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.