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Finding the Third Proportional to 119,640.38 and 261,014.06

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Solution

The third proportional to 119,640.38 and 261,014.06 is: 569,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,640.38 : 261,014.06 = 261,014.06 : x
  2. Step 2: Convert to fraction form
    119,640.38/261,014.06 = 261,014.06/x
  3. Step 3: Cross multiply
    119,640.38x = 261,014.06 × 261,014.06
  4. Step 4: Simplify right side
    119,640.38x = 68,128,340,822.75
  5. Step 5: Solve for x
    x = 68,128,340,822.75/119,640.38
  6. Step 6: Final answer
    x = 569,442.72

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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.