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Finding the Third Proportional to 119,115 and 261,844

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Solution

The third proportional to 119,115 and 261,844 is: 575,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,115 : 261,844 = 261,844 : x
  2. Step 2: Convert to fraction form
    119,115/261,844 = 261,844/x
  3. Step 3: Cross multiply
    119,115x = 261,844 × 261,844
  4. Step 4: Simplify right side
    119,115x = 68,562,280,336
  5. Step 5: Solve for x
    x = 68,562,280,336/119,115
  6. Step 6: Final answer
    x = 575,597.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.