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Finding the Third Proportional to 229,206 and 344,241

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Solution

The third proportional to 229,206 and 344,241 is: 517,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,206 : 344,241 = 344,241 : x
  2. Step 2: Convert to fraction form
    229,206/344,241 = 344,241/x
  3. Step 3: Cross multiply
    229,206x = 344,241 × 344,241
  4. Step 4: Simplify right side
    229,206x = 118,501,866,081
  5. Step 5: Solve for x
    x = 118,501,866,081/229,206
  6. Step 6: Final answer
    x = 517,010.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.