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Finding the Third Proportional to 107,472.25 and 233,606

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Solution

The third proportional to 107,472.25 and 233,606 is: 507,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472.25 : 233,606 = 233,606 : x
  2. Step 2: Convert to fraction form
    107,472.25/233,606 = 233,606/x
  3. Step 3: Cross multiply
    107,472.25x = 233,606 × 233,606
  4. Step 4: Simplify right side
    107,472.25x = 54,571,763,236
  5. Step 5: Solve for x
    x = 54,571,763,236/107,472.25
  6. Step 6: Final answer
    x = 507,775.39

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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.