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Finding the Third Proportional to 229,006 and 336,667

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Solution

The third proportional to 229,006 and 336,667 is: 494,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,006 : 336,667 = 336,667 : x
  2. Step 2: Convert to fraction form
    229,006/336,667 = 336,667/x
  3. Step 3: Cross multiply
    229,006x = 336,667 × 336,667
  4. Step 4: Simplify right side
    229,006x = 113,344,668,889
  5. Step 5: Solve for x
    x = 113,344,668,889/229,006
  6. Step 6: Final answer
    x = 494,941.92

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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.