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Finding the Third Proportional to 178,976 and 376,368

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Solution

The third proportional to 178,976 and 376,368 is: 791,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,976 : 376,368 = 376,368 : x
  2. Step 2: Convert to fraction form
    178,976/376,368 = 376,368/x
  3. Step 3: Cross multiply
    178,976x = 376,368 × 376,368
  4. Step 4: Simplify right side
    178,976x = 141,652,871,424
  5. Step 5: Solve for x
    x = 141,652,871,424/178,976
  6. Step 6: Final answer
    x = 791,462.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.