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Finding the Third Proportional to 107,056 and 230,555

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Solution

The third proportional to 107,056 and 230,555 is: 496,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056 : 230,555 = 230,555 : x
  2. Step 2: Convert to fraction form
    107,056/230,555 = 230,555/x
  3. Step 3: Cross multiply
    107,056x = 230,555 × 230,555
  4. Step 4: Simplify right side
    107,056x = 53,155,608,025
  5. Step 5: Solve for x
    x = 53,155,608,025/107,056
  6. Step 6: Final answer
    x = 496,521.52

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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.