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Finding the Third Proportional to 133,214 and 285,322

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Solution

The third proportional to 133,214 and 285,322 is: 611,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214 : 285,322 = 285,322 : x
  2. Step 2: Convert to fraction form
    133,214/285,322 = 285,322/x
  3. Step 3: Cross multiply
    133,214x = 285,322 × 285,322
  4. Step 4: Simplify right side
    133,214x = 81,408,643,684
  5. Step 5: Solve for x
    x = 81,408,643,684/133,214
  6. Step 6: Final answer
    x = 611,111.77

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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.