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Finding the Third Proportional to 174,538 and 376,924

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Solution

The third proportional to 174,538 and 376,924 is: 813,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,538 : 376,924 = 376,924 : x
  2. Step 2: Convert to fraction form
    174,538/376,924 = 376,924/x
  3. Step 3: Cross multiply
    174,538x = 376,924 × 376,924
  4. Step 4: Simplify right side
    174,538x = 142,071,701,776
  5. Step 5: Solve for x
    x = 142,071,701,776/174,538
  6. Step 6: Final answer
    x = 813,987.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.