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Finding the Third Proportional to 173,132 and 270,632

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Solution

The third proportional to 173,132 and 270,632 is: 423,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,132 : 270,632 = 270,632 : x
  2. Step 2: Convert to fraction form
    173,132/270,632 = 270,632/x
  3. Step 3: Cross multiply
    173,132x = 270,632 × 270,632
  4. Step 4: Simplify right side
    173,132x = 73,241,679,424
  5. Step 5: Solve for x
    x = 73,241,679,424/173,132
  6. Step 6: Final answer
    x = 423,039.53

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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.