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Finding the Third Proportional to 166,298 and 364,787

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Solution

The third proportional to 166,298 and 364,787 is: 800,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,298 : 364,787 = 364,787 : x
  2. Step 2: Convert to fraction form
    166,298/364,787 = 364,787/x
  3. Step 3: Cross multiply
    166,298x = 364,787 × 364,787
  4. Step 4: Simplify right side
    166,298x = 133,069,555,369
  5. Step 5: Solve for x
    x = 133,069,555,369/166,298
  6. Step 6: Final answer
    x = 800,187.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.