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Finding the Third Proportional to 107,716 and 230,094

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Solution

The third proportional to 107,716 and 230,094 is: 491,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716 : 230,094 = 230,094 : x
  2. Step 2: Convert to fraction form
    107,716/230,094 = 230,094/x
  3. Step 3: Cross multiply
    107,716x = 230,094 × 230,094
  4. Step 4: Simplify right side
    107,716x = 52,943,248,836
  5. Step 5: Solve for x
    x = 52,943,248,836/107,716
  6. Step 6: Final answer
    x = 491,507.75

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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.