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Finding the Third Proportional to 119,745 and 260,751

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Solution

The third proportional to 119,745 and 260,751 is: 567,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,745 : 260,751 = 260,751 : x
  2. Step 2: Convert to fraction form
    119,745/260,751 = 260,751/x
  3. Step 3: Cross multiply
    119,745x = 260,751 × 260,751
  4. Step 4: Simplify right side
    119,745x = 67,991,084,001
  5. Step 5: Solve for x
    x = 67,991,084,001/119,745
  6. Step 6: Final answer
    x = 567,798.94

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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.