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Finding the Third Proportional to 233,755.88 and 355,554.56

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Solution

The third proportional to 233,755.88 and 355,554.56 is: 540,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,755.88 : 355,554.56 = 355,554.56 : x
  2. Step 2: Convert to fraction form
    233,755.88/355,554.56 = 355,554.56/x
  3. Step 3: Cross multiply
    233,755.88x = 355,554.56 × 355,554.56
  4. Step 4: Simplify right side
    233,755.88x = 126,419,046,914.57
  5. Step 5: Solve for x
    x = 126,419,046,914.57/233,755.88
  6. Step 6: Final answer
    x = 540,816.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.