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Finding the Third Proportional to 151,938 and 333,033.75

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Solution

The third proportional to 151,938 and 333,033.75 is: 729,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,938 : 333,033.75 = 333,033.75 : x
  2. Step 2: Convert to fraction form
    151,938/333,033.75 = 333,033.75/x
  3. Step 3: Cross multiply
    151,938x = 333,033.75 × 333,033.75
  4. Step 4: Simplify right side
    151,938x = 110,911,478,639.06
  5. Step 5: Solve for x
    x = 110,911,478,639.06/151,938
  6. Step 6: Final answer
    x = 729,978.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.