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Finding the Third Proportional to 146,907 and 344,907

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Solution

The third proportional to 146,907 and 344,907 is: 809,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,907 : 344,907 = 344,907 : x
  2. Step 2: Convert to fraction form
    146,907/344,907 = 344,907/x
  3. Step 3: Cross multiply
    146,907x = 344,907 × 344,907
  4. Step 4: Simplify right side
    146,907x = 118,960,838,649
  5. Step 5: Solve for x
    x = 118,960,838,649/146,907
  6. Step 6: Final answer
    x = 809,769.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.