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Finding the Third Proportional to 178,834 and 372,360

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Solution

The third proportional to 178,834 and 372,360 is: 775,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,834 : 372,360 = 372,360 : x
  2. Step 2: Convert to fraction form
    178,834/372,360 = 372,360/x
  3. Step 3: Cross multiply
    178,834x = 372,360 × 372,360
  4. Step 4: Simplify right side
    178,834x = 138,651,969,600
  5. Step 5: Solve for x
    x = 138,651,969,600/178,834
  6. Step 6: Final answer
    x = 775,311.01

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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.