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Finding the Third Proportional to 107,296 and 230,953

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Solution

The third proportional to 107,296 and 230,953 is: 497,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 230,953 = 230,953 : x
  2. Step 2: Convert to fraction form
    107,296/230,953 = 230,953/x
  3. Step 3: Cross multiply
    107,296x = 230,953 × 230,953
  4. Step 4: Simplify right side
    107,296x = 53,339,288,209
  5. Step 5: Solve for x
    x = 53,339,288,209/107,296
  6. Step 6: Final answer
    x = 497,122.80

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