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Finding the Third Proportional to 239,373.25 and 364,033.50

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Solution

The third proportional to 239,373.25 and 364,033.50 is: 553,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,373.25 : 364,033.50 = 364,033.50 : x
  2. Step 2: Convert to fraction form
    239,373.25/364,033.50 = 364,033.50/x
  3. Step 3: Cross multiply
    239,373.25x = 364,033.50 × 364,033.50
  4. Step 4: Simplify right side
    239,373.25x = 132,520,389,122.25
  5. Step 5: Solve for x
    x = 132,520,389,122.25/239,373.25
  6. Step 6: Final answer
    x = 553,614.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.