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Finding the Third Proportional to 239,294.25 and 375,435

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Solution

The third proportional to 239,294.25 and 375,435 is: 589,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,294.25 : 375,435 = 375,435 : x
  2. Step 2: Convert to fraction form
    239,294.25/375,435 = 375,435/x
  3. Step 3: Cross multiply
    239,294.25x = 375,435 × 375,435
  4. Step 4: Simplify right side
    239,294.25x = 140,951,439,225
  5. Step 5: Solve for x
    x = 140,951,439,225/239,294.25
  6. Step 6: Final answer
    x = 589,029.78

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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.