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Finding the Third Proportional to 107,356 and 230,318

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Solution

The third proportional to 107,356 and 230,318 is: 494,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,356 : 230,318 = 230,318 : x
  2. Step 2: Convert to fraction form
    107,356/230,318 = 230,318/x
  3. Step 3: Cross multiply
    107,356x = 230,318 × 230,318
  4. Step 4: Simplify right side
    107,356x = 53,046,381,124
  5. Step 5: Solve for x
    x = 53,046,381,124/107,356
  6. Step 6: Final answer
    x = 494,116.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.