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Finding the Third Proportional to 133,194 and 285,342

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Solution

The third proportional to 133,194 and 285,342 is: 611,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194 : 285,342 = 285,342 : x
  2. Step 2: Convert to fraction form
    133,194/285,342 = 285,342/x
  3. Step 3: Cross multiply
    133,194x = 285,342 × 285,342
  4. Step 4: Simplify right side
    133,194x = 81,420,056,964
  5. Step 5: Solve for x
    x = 81,420,056,964/133,194
  6. Step 6: Final answer
    x = 611,289.22

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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.