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Finding the Third Proportional to 119,650 and 261,034

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Solution

The third proportional to 119,650 and 261,034 is: 569,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,650 : 261,034 = 261,034 : x
  2. Step 2: Convert to fraction form
    119,650/261,034 = 261,034/x
  3. Step 3: Cross multiply
    119,650x = 261,034 × 261,034
  4. Step 4: Simplify right side
    119,650x = 68,138,749,156
  5. Step 5: Solve for x
    x = 68,138,749,156/119,650
  6. Step 6: Final answer
    x = 569,483.90

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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.