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Finding the Third Proportional to 174,991 and 374,767

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Solution

The third proportional to 174,991 and 374,767 is: 802,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,991 : 374,767 = 374,767 : x
  2. Step 2: Convert to fraction form
    174,991/374,767 = 374,767/x
  3. Step 3: Cross multiply
    174,991x = 374,767 × 374,767
  4. Step 4: Simplify right side
    174,991x = 140,450,304,289
  5. Step 5: Solve for x
    x = 140,450,304,289/174,991
  6. Step 6: Final answer
    x = 802,614.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.