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Finding the Third Proportional to 107,256 and 230,955

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Solution

The third proportional to 107,256 and 230,955 is: 497,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 230,955 = 230,955 : x
  2. Step 2: Convert to fraction form
    107,256/230,955 = 230,955/x
  3. Step 3: Cross multiply
    107,256x = 230,955 × 230,955
  4. Step 4: Simplify right side
    107,256x = 53,340,212,025
  5. Step 5: Solve for x
    x = 53,340,212,025/107,256
  6. Step 6: Final answer
    x = 497,316.81

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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.