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Finding the Third Proportional to 233,977.50 and 347,524.50

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Solution

The third proportional to 233,977.50 and 347,524.50 is: 516,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,977.50 : 347,524.50 = 347,524.50 : x
  2. Step 2: Convert to fraction form
    233,977.50/347,524.50 = 347,524.50/x
  3. Step 3: Cross multiply
    233,977.50x = 347,524.50 × 347,524.50
  4. Step 4: Simplify right side
    233,977.50x = 120,773,278,100.25
  5. Step 5: Solve for x
    x = 120,773,278,100.25/233,977.50
  6. Step 6: Final answer
    x = 516,174.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.