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Finding the Third Proportional to 174,410 and 376,696

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Solution

The third proportional to 174,410 and 376,696 is: 813,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,410 : 376,696 = 376,696 : x
  2. Step 2: Convert to fraction form
    174,410/376,696 = 376,696/x
  3. Step 3: Cross multiply
    174,410x = 376,696 × 376,696
  4. Step 4: Simplify right side
    174,410x = 141,899,876,416
  5. Step 5: Solve for x
    x = 141,899,876,416/174,410
  6. Step 6: Final answer
    x = 813,599.43

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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.