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Finding the Third Proportional to 174,512 and 376,882

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Solution

The third proportional to 174,512 and 376,882 is: 813,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,512 : 376,882 = 376,882 : x
  2. Step 2: Convert to fraction form
    174,512/376,882 = 376,882/x
  3. Step 3: Cross multiply
    174,512x = 376,882 × 376,882
  4. Step 4: Simplify right side
    174,512x = 142,040,041,924
  5. Step 5: Solve for x
    x = 142,040,041,924/174,512
  6. Step 6: Final answer
    x = 813,927.08

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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.