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Finding the Third Proportional to 155,542.50 and 230,031

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Solution

The third proportional to 155,542.50 and 230,031 is: 340,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,542.50 : 230,031 = 230,031 : x
  2. Step 2: Convert to fraction form
    155,542.50/230,031 = 230,031/x
  3. Step 3: Cross multiply
    155,542.50x = 230,031 × 230,031
  4. Step 4: Simplify right side
    155,542.50x = 52,914,260,961
  5. Step 5: Solve for x
    x = 52,914,260,961/155,542.50
  6. Step 6: Final answer
    x = 340,191.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.