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Finding the Third Proportional to 152,907 and 331,329

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Solution

The third proportional to 152,907 and 331,329 is: 717,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907 : 331,329 = 331,329 : x
  2. Step 2: Convert to fraction form
    152,907/331,329 = 331,329/x
  3. Step 3: Cross multiply
    152,907x = 331,329 × 331,329
  4. Step 4: Simplify right side
    152,907x = 109,778,906,241
  5. Step 5: Solve for x
    x = 109,778,906,241/152,907
  6. Step 6: Final answer
    x = 717,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.