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Finding the Third Proportional to 119,790 and 260,826

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Solution

The third proportional to 119,790 and 260,826 is: 567,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,790 : 260,826 = 260,826 : x
  2. Step 2: Convert to fraction form
    119,790/260,826 = 260,826/x
  3. Step 3: Cross multiply
    119,790x = 260,826 × 260,826
  4. Step 4: Simplify right side
    119,790x = 68,030,202,276
  5. Step 5: Solve for x
    x = 68,030,202,276/119,790
  6. Step 6: Final answer
    x = 567,912.20

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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.