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Finding the Third Proportional to 230,570 and 337,035

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Solution

The third proportional to 230,570 and 337,035 is: 492,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,570 : 337,035 = 337,035 : x
  2. Step 2: Convert to fraction form
    230,570/337,035 = 337,035/x
  3. Step 3: Cross multiply
    230,570x = 337,035 × 337,035
  4. Step 4: Simplify right side
    230,570x = 113,592,591,225
  5. Step 5: Solve for x
    x = 113,592,591,225/230,570
  6. Step 6: Final answer
    x = 492,659.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.