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Finding the Third Proportional to 212,711.25 and 333,728

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Solution

The third proportional to 212,711.25 and 333,728 is: 523,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711.25 : 333,728 = 333,728 : x
  2. Step 2: Convert to fraction form
    212,711.25/333,728 = 333,728/x
  3. Step 3: Cross multiply
    212,711.25x = 333,728 × 333,728
  4. Step 4: Simplify right side
    212,711.25x = 111,374,377,984
  5. Step 5: Solve for x
    x = 111,374,377,984/212,711.25
  6. Step 6: Final answer
    x = 523,594.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.