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Finding the Third Proportional to 239,172 and 375,225

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Solution

The third proportional to 239,172 and 375,225 is: 588,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,172 : 375,225 = 375,225 : x
  2. Step 2: Convert to fraction form
    239,172/375,225 = 375,225/x
  3. Step 3: Cross multiply
    239,172x = 375,225 × 375,225
  4. Step 4: Simplify right side
    239,172x = 140,793,800,625
  5. Step 5: Solve for x
    x = 140,793,800,625/239,172
  6. Step 6: Final answer
    x = 588,671.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.