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Finding the Third Proportional to 166,448 and 346,486

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Solution

The third proportional to 166,448 and 346,486 is: 721,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,448 : 346,486 = 346,486 : x
  2. Step 2: Convert to fraction form
    166,448/346,486 = 346,486/x
  3. Step 3: Cross multiply
    166,448x = 346,486 × 346,486
  4. Step 4: Simplify right side
    166,448x = 120,052,548,196
  5. Step 5: Solve for x
    x = 120,052,548,196/166,448
  6. Step 6: Final answer
    x = 721,261.58

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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.