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Finding the Third Proportional to 233,499 and 356,080.50

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Solution

The third proportional to 233,499 and 356,080.50 is: 543,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,499 : 356,080.50 = 356,080.50 : x
  2. Step 2: Convert to fraction form
    233,499/356,080.50 = 356,080.50/x
  3. Step 3: Cross multiply
    233,499x = 356,080.50 × 356,080.50
  4. Step 4: Simplify right side
    233,499x = 126,793,322,480.25
  5. Step 5: Solve for x
    x = 126,793,322,480.25/233,499
  6. Step 6: Final answer
    x = 543,014.41

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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.