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Finding the Third Proportional to 155,884.50 and 333,092.25

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Solution

The third proportional to 155,884.50 and 333,092.25 is: 711,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,884.50 : 333,092.25 = 333,092.25 : x
  2. Step 2: Convert to fraction form
    155,884.50/333,092.25 = 333,092.25/x
  3. Step 3: Cross multiply
    155,884.50x = 333,092.25 × 333,092.25
  4. Step 4: Simplify right side
    155,884.50x = 110,950,447,010.06
  5. Step 5: Solve for x
    x = 110,950,447,010.06/155,884.50
  6. Step 6: Final answer
    x = 711,747.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.