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Finding the Third Proportional to 152,993.25 and 331,407

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Solution

The third proportional to 152,993.25 and 331,407 is: 717,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,993.25 : 331,407 = 331,407 : x
  2. Step 2: Convert to fraction form
    152,993.25/331,407 = 331,407/x
  3. Step 3: Cross multiply
    152,993.25x = 331,407 × 331,407
  4. Step 4: Simplify right side
    152,993.25x = 109,830,599,649
  5. Step 5: Solve for x
    x = 109,830,599,649/152,993.25
  6. Step 6: Final answer
    x = 717,878.73

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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.