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Finding the Third Proportional to 119,846 and 261,140

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Solution

The third proportional to 119,846 and 261,140 is: 569,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846 : 261,140 = 261,140 : x
  2. Step 2: Convert to fraction form
    119,846/261,140 = 261,140/x
  3. Step 3: Cross multiply
    119,846x = 261,140 × 261,140
  4. Step 4: Simplify right side
    119,846x = 68,194,099,600
  5. Step 5: Solve for x
    x = 68,194,099,600/119,846
  6. Step 6: Final answer
    x = 569,014.40

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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.