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Finding the Third Proportional to 229,770 and 335,907

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Solution

The third proportional to 229,770 and 335,907 is: 491,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,770 : 335,907 = 335,907 : x
  2. Step 2: Convert to fraction form
    229,770/335,907 = 335,907/x
  3. Step 3: Cross multiply
    229,770x = 335,907 × 335,907
  4. Step 4: Simplify right side
    229,770x = 112,833,512,649
  5. Step 5: Solve for x
    x = 112,833,512,649/229,770
  6. Step 6: Final answer
    x = 491,071.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.