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Finding the Third Proportional to 173,132.50 and 270,634

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Solution

The third proportional to 173,132.50 and 270,634 is: 423,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,132.50 : 270,634 = 270,634 : x
  2. Step 2: Convert to fraction form
    173,132.50/270,634 = 270,634/x
  3. Step 3: Cross multiply
    173,132.50x = 270,634 × 270,634
  4. Step 4: Simplify right side
    173,132.50x = 73,242,761,956
  5. Step 5: Solve for x
    x = 73,242,761,956/173,132.50
  6. Step 6: Final answer
    x = 423,044.56

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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.