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Finding the Third Proportional to 235,832 and 333,381.50

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Solution

The third proportional to 235,832 and 333,381.50 is: 471,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,832 : 333,381.50 = 333,381.50 : x
  2. Step 2: Convert to fraction form
    235,832/333,381.50 = 333,381.50/x
  3. Step 3: Cross multiply
    235,832x = 333,381.50 × 333,381.50
  4. Step 4: Simplify right side
    235,832x = 111,143,224,542.25
  5. Step 5: Solve for x
    x = 111,143,224,542.25/235,832
  6. Step 6: Final answer
    x = 471,281.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.