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Finding the Third Proportional to 173,619 and 361,062

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Solution

The third proportional to 173,619 and 361,062 is: 750,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,619 : 361,062 = 361,062 : x
  2. Step 2: Convert to fraction form
    173,619/361,062 = 361,062/x
  3. Step 3: Cross multiply
    173,619x = 361,062 × 361,062
  4. Step 4: Simplify right side
    173,619x = 130,365,767,844
  5. Step 5: Solve for x
    x = 130,365,767,844/173,619
  6. Step 6: Final answer
    x = 750,872.70

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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.