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Finding the Third Proportional to 230,277 and 350,986.50

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Solution

The third proportional to 230,277 and 350,986.50 is: 534,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,277 : 350,986.50 = 350,986.50 : x
  2. Step 2: Convert to fraction form
    230,277/350,986.50 = 350,986.50/x
  3. Step 3: Cross multiply
    230,277x = 350,986.50 × 350,986.50
  4. Step 4: Simplify right side
    230,277x = 123,191,523,182.25
  5. Step 5: Solve for x
    x = 123,191,523,182.25/230,277
  6. Step 6: Final answer
    x = 534,971.03

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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.