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Finding the Third Proportional to 119,659 and 261,050

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Solution

The third proportional to 119,659 and 261,050 is: 569,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,659 : 261,050 = 261,050 : x
  2. Step 2: Convert to fraction form
    119,659/261,050 = 261,050/x
  3. Step 3: Cross multiply
    119,659x = 261,050 × 261,050
  4. Step 4: Simplify right side
    119,659x = 68,147,102,500
  5. Step 5: Solve for x
    x = 68,147,102,500/119,659
  6. Step 6: Final answer
    x = 569,510.88

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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.