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Finding the Third Proportional to 171,736.50 and 367,107

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Solution

The third proportional to 171,736.50 and 367,107 is: 784,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,736.50 : 367,107 = 367,107 : x
  2. Step 2: Convert to fraction form
    171,736.50/367,107 = 367,107/x
  3. Step 3: Cross multiply
    171,736.50x = 367,107 × 367,107
  4. Step 4: Simplify right side
    171,736.50x = 134,767,549,449
  5. Step 5: Solve for x
    x = 134,767,549,449/171,736.50
  6. Step 6: Final answer
    x = 784,734.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.