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Finding the Third Proportional to 180,252 and 261,084

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Solution

The third proportional to 180,252 and 261,084 is: 378,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,252 : 261,084 = 261,084 : x
  2. Step 2: Convert to fraction form
    180,252/261,084 = 261,084/x
  3. Step 3: Cross multiply
    180,252x = 261,084 × 261,084
  4. Step 4: Simplify right side
    180,252x = 68,164,855,056
  5. Step 5: Solve for x
    x = 68,164,855,056/180,252
  6. Step 6: Final answer
    x = 378,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.