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Finding the Third Proportional to 173,160 and 270,675

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Solution

The third proportional to 173,160 and 270,675 is: 423,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,160 : 270,675 = 270,675 : x
  2. Step 2: Convert to fraction form
    173,160/270,675 = 270,675/x
  3. Step 3: Cross multiply
    173,160x = 270,675 × 270,675
  4. Step 4: Simplify right side
    173,160x = 73,264,955,625
  5. Step 5: Solve for x
    x = 73,264,955,625/173,160
  6. Step 6: Final answer
    x = 423,105.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.