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Finding the Third Proportional to 178,960 and 376,336

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Solution

The third proportional to 178,960 and 376,336 is: 791,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,960 : 376,336 = 376,336 : x
  2. Step 2: Convert to fraction form
    178,960/376,336 = 376,336/x
  3. Step 3: Cross multiply
    178,960x = 376,336 × 376,336
  4. Step 4: Simplify right side
    178,960x = 141,628,784,896
  5. Step 5: Solve for x
    x = 141,628,784,896/178,960
  6. Step 6: Final answer
    x = 791,399.11

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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.