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Finding the Third Proportional to 136,222 and 296,966

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Solution

The third proportional to 136,222 and 296,966 is: 647,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,222 : 296,966 = 296,966 : x
  2. Step 2: Convert to fraction form
    136,222/296,966 = 296,966/x
  3. Step 3: Cross multiply
    136,222x = 296,966 × 296,966
  4. Step 4: Simplify right side
    136,222x = 88,188,805,156
  5. Step 5: Solve for x
    x = 88,188,805,156/136,222
  6. Step 6: Final answer
    x = 647,390.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.