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Finding the Third Proportional to 161,566 and 268,337

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Solution

The third proportional to 161,566 and 268,337 is: 445,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566 : 268,337 = 268,337 : x
  2. Step 2: Convert to fraction form
    161,566/268,337 = 268,337/x
  3. Step 3: Cross multiply
    161,566x = 268,337 × 268,337
  4. Step 4: Simplify right side
    161,566x = 72,004,745,569
  5. Step 5: Solve for x
    x = 72,004,745,569/161,566
  6. Step 6: Final answer
    x = 445,667.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.