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Finding the Third Proportional to 239,391 and 364,059

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Solution

The third proportional to 239,391 and 364,059 is: 553,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,391 : 364,059 = 364,059 : x
  2. Step 2: Convert to fraction form
    239,391/364,059 = 364,059/x
  3. Step 3: Cross multiply
    239,391x = 364,059 × 364,059
  4. Step 4: Simplify right side
    239,391x = 132,538,955,481
  5. Step 5: Solve for x
    x = 132,538,955,481/239,391
  6. Step 6: Final answer
    x = 553,650.54

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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.