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Finding the Third Proportional to 117,186 and 186,318

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Solution

The third proportional to 117,186 and 186,318 is: 296,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,186 : 186,318 = 186,318 : x
  2. Step 2: Convert to fraction form
    117,186/186,318 = 186,318/x
  3. Step 3: Cross multiply
    117,186x = 186,318 × 186,318
  4. Step 4: Simplify right side
    117,186x = 34,714,397,124
  5. Step 5: Solve for x
    x = 34,714,397,124/117,186
  6. Step 6: Final answer
    x = 296,233.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.