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Finding the Third Proportional to 133,164 and 285,282

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Solution

The third proportional to 133,164 and 285,282 is: 611,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 285,282 = 285,282 : x
  2. Step 2: Convert to fraction form
    133,164/285,282 = 285,282/x
  3. Step 3: Cross multiply
    133,164x = 285,282 × 285,282
  4. Step 4: Simplify right side
    133,164x = 81,385,819,524
  5. Step 5: Solve for x
    x = 81,385,819,524/133,164
  6. Step 6: Final answer
    x = 611,169.83

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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.