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Finding the Third Proportional to 231,301.50 and 337,105.50

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Solution

The third proportional to 231,301.50 and 337,105.50 is: 491,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,301.50 : 337,105.50 = 337,105.50 : x
  2. Step 2: Convert to fraction form
    231,301.50/337,105.50 = 337,105.50/x
  3. Step 3: Cross multiply
    231,301.50x = 337,105.50 × 337,105.50
  4. Step 4: Simplify right side
    231,301.50x = 113,640,118,130.25
  5. Step 5: Solve for x
    x = 113,640,118,130.25/231,301.50
  6. Step 6: Final answer
    x = 491,307.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.