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Finding the Third Proportional to 171,034 and 364,213

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Solution

The third proportional to 171,034 and 364,213 is: 775,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034 : 364,213 = 364,213 : x
  2. Step 2: Convert to fraction form
    171,034/364,213 = 364,213/x
  3. Step 3: Cross multiply
    171,034x = 364,213 × 364,213
  4. Step 4: Simplify right side
    171,034x = 132,651,109,369
  5. Step 5: Solve for x
    x = 132,651,109,369/171,034
  6. Step 6: Final answer
    x = 775,583.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.