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Finding the Third Proportional to 229,380 and 337,302

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Solution

The third proportional to 229,380 and 337,302 is: 496,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,380 : 337,302 = 337,302 : x
  2. Step 2: Convert to fraction form
    229,380/337,302 = 337,302/x
  3. Step 3: Cross multiply
    229,380x = 337,302 × 337,302
  4. Step 4: Simplify right side
    229,380x = 113,772,639,204
  5. Step 5: Solve for x
    x = 113,772,639,204/229,380
  6. Step 6: Final answer
    x = 496,000.69

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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.