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Finding the Third Proportional to 171,416 and 372,064

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Solution

The third proportional to 171,416 and 372,064 is: 807,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,416 : 372,064 = 372,064 : x
  2. Step 2: Convert to fraction form
    171,416/372,064 = 372,064/x
  3. Step 3: Cross multiply
    171,416x = 372,064 × 372,064
  4. Step 4: Simplify right side
    171,416x = 138,431,620,096
  5. Step 5: Solve for x
    x = 138,431,620,096/171,416
  6. Step 6: Final answer
    x = 807,577.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.