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Finding the Third Proportional to 166,290 and 317,271

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Solution

The third proportional to 166,290 and 317,271 is: 605,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,290 : 317,271 = 317,271 : x
  2. Step 2: Convert to fraction form
    166,290/317,271 = 317,271/x
  3. Step 3: Cross multiply
    166,290x = 317,271 × 317,271
  4. Step 4: Simplify right side
    166,290x = 100,660,887,441
  5. Step 5: Solve for x
    x = 100,660,887,441/166,290
  6. Step 6: Final answer
    x = 605,333.38

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.