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Finding the Third Proportional to 178,715 and 372,136

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Solution

The third proportional to 178,715 and 372,136 is: 774,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,715 : 372,136 = 372,136 : x
  2. Step 2: Convert to fraction form
    178,715/372,136 = 372,136/x
  3. Step 3: Cross multiply
    178,715x = 372,136 × 372,136
  4. Step 4: Simplify right side
    178,715x = 138,485,202,496
  5. Step 5: Solve for x
    x = 138,485,202,496/178,715
  6. Step 6: Final answer
    x = 774,894.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.