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Finding the Third Proportional to 174,418 and 376,710

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Solution

The third proportional to 174,418 and 376,710 is: 813,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,418 : 376,710 = 376,710 : x
  2. Step 2: Convert to fraction form
    174,418/376,710 = 376,710/x
  3. Step 3: Cross multiply
    174,418x = 376,710 × 376,710
  4. Step 4: Simplify right side
    174,418x = 141,910,424,100
  5. Step 5: Solve for x
    x = 141,910,424,100/174,418
  6. Step 6: Final answer
    x = 813,622.59

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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.