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Finding the Third Proportional to 229,333 and 337,259

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Solution

The third proportional to 229,333 and 337,259 is: 495,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,333 : 337,259 = 337,259 : x
  2. Step 2: Convert to fraction form
    229,333/337,259 = 337,259/x
  3. Step 3: Cross multiply
    229,333x = 337,259 × 337,259
  4. Step 4: Simplify right side
    229,333x = 113,743,633,081
  5. Step 5: Solve for x
    x = 113,743,633,081/229,333
  6. Step 6: Final answer
    x = 495,975.87

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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.