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Finding the Third Proportional to 173,114.25 and 270,606.75

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Solution

The third proportional to 173,114.25 and 270,606.75 is: 423,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,114.25 : 270,606.75 = 270,606.75 : x
  2. Step 2: Convert to fraction form
    173,114.25/270,606.75 = 270,606.75/x
  3. Step 3: Cross multiply
    173,114.25x = 270,606.75 × 270,606.75
  4. Step 4: Simplify right side
    173,114.25x = 73,228,013,145.56
  5. Step 5: Solve for x
    x = 73,228,013,145.56/173,114.25
  6. Step 6: Final answer
    x = 423,003.96

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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.