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Finding the Third Proportional to 239,379 and 364,043.25

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Solution

The third proportional to 239,379 and 364,043.25 is: 553,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,379 : 364,043.25 = 364,043.25 : x
  2. Step 2: Convert to fraction form
    239,379/364,043.25 = 364,043.25/x
  3. Step 3: Cross multiply
    239,379x = 364,043.25 × 364,043.25
  4. Step 4: Simplify right side
    239,379x = 132,527,487,870.56
  5. Step 5: Solve for x
    x = 132,527,487,870.56/239,379
  6. Step 6: Final answer
    x = 553,630.38

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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.