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Finding the Third Proportional to 178,808 and 372,314

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Solution

The third proportional to 178,808 and 372,314 is: 775,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,808 : 372,314 = 372,314 : x
  2. Step 2: Convert to fraction form
    178,808/372,314 = 372,314/x
  3. Step 3: Cross multiply
    178,808x = 372,314 × 372,314
  4. Step 4: Simplify right side
    178,808x = 138,617,714,596
  5. Step 5: Solve for x
    x = 138,617,714,596/178,808
  6. Step 6: Final answer
    x = 775,232.17

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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.