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Finding the Third Proportional to 133,966 and 291,236

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Solution

The third proportional to 133,966 and 291,236 is: 633,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,966 : 291,236 = 291,236 : x
  2. Step 2: Convert to fraction form
    133,966/291,236 = 291,236/x
  3. Step 3: Cross multiply
    133,966x = 291,236 × 291,236
  4. Step 4: Simplify right side
    133,966x = 84,818,407,696
  5. Step 5: Solve for x
    x = 84,818,407,696/133,966
  6. Step 6: Final answer
    x = 633,133.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.