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Finding the Third Proportional to 107,296.50 and 232,512

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Solution

The third proportional to 107,296.50 and 232,512 is: 503,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296.50 : 232,512 = 232,512 : x
  2. Step 2: Convert to fraction form
    107,296.50/232,512 = 232,512/x
  3. Step 3: Cross multiply
    107,296.50x = 232,512 × 232,512
  4. Step 4: Simplify right side
    107,296.50x = 54,061,830,144
  5. Step 5: Solve for x
    x = 54,061,830,144/107,296.50
  6. Step 6: Final answer
    x = 503,854.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.