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Finding the Third Proportional to 230,836.50 and 347,773.50

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Solution

The third proportional to 230,836.50 and 347,773.50 is: 523,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,836.50 : 347,773.50 = 347,773.50 : x
  2. Step 2: Convert to fraction form
    230,836.50/347,773.50 = 347,773.50/x
  3. Step 3: Cross multiply
    230,836.50x = 347,773.50 × 347,773.50
  4. Step 4: Simplify right side
    230,836.50x = 120,946,407,302.25
  5. Step 5: Solve for x
    x = 120,946,407,302.25/230,836.50
  6. Step 6: Final answer
    x = 523,948.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.