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Finding the Third Proportional to 230,048 and 337,335

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Solution

The third proportional to 230,048 and 337,335 is: 494,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,048 : 337,335 = 337,335 : x
  2. Step 2: Convert to fraction form
    230,048/337,335 = 337,335/x
  3. Step 3: Cross multiply
    230,048x = 337,335 × 337,335
  4. Step 4: Simplify right side
    230,048x = 113,794,902,225
  5. Step 5: Solve for x
    x = 113,794,902,225/230,048
  6. Step 6: Final answer
    x = 494,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.