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Finding the Third Proportional to 173,234 and 270,790

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Solution

The third proportional to 173,234 and 270,790 is: 423,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,234 : 270,790 = 270,790 : x
  2. Step 2: Convert to fraction form
    173,234/270,790 = 270,790/x
  3. Step 3: Cross multiply
    173,234x = 270,790 × 270,790
  4. Step 4: Simplify right side
    173,234x = 73,327,224,100
  5. Step 5: Solve for x
    x = 73,327,224,100/173,234
  6. Step 6: Final answer
    x = 423,284.25

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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.