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Finding the Third Proportional to 235,387.50 and 331,621.50

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Solution

The third proportional to 235,387.50 and 331,621.50 is: 467,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,387.50 : 331,621.50 = 331,621.50 : x
  2. Step 2: Convert to fraction form
    235,387.50/331,621.50 = 331,621.50/x
  3. Step 3: Cross multiply
    235,387.50x = 331,621.50 × 331,621.50
  4. Step 4: Simplify right side
    235,387.50x = 109,972,819,262.25
  5. Step 5: Solve for x
    x = 109,972,819,262.25/235,387.50
  6. Step 6: Final answer
    x = 467,199.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.