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Finding the Third Proportional to 239,375 and 364,036

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Solution

The third proportional to 239,375 and 364,036 is: 553,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,375 : 364,036 = 364,036 : x
  2. Step 2: Convert to fraction form
    239,375/364,036 = 364,036/x
  3. Step 3: Cross multiply
    239,375x = 364,036 × 364,036
  4. Step 4: Simplify right side
    239,375x = 132,522,209,296
  5. Step 5: Solve for x
    x = 132,522,209,296/239,375
  6. Step 6: Final answer
    x = 553,617.58

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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.