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Finding the Third Proportional to 235,183.50 and 515,401.50

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Solution

The third proportional to 235,183.50 and 515,401.50 is: 1,129,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,183.50 : 515,401.50 = 515,401.50 : x
  2. Step 2: Convert to fraction form
    235,183.50/515,401.50 = 515,401.50/x
  3. Step 3: Cross multiply
    235,183.50x = 515,401.50 × 515,401.50
  4. Step 4: Simplify right side
    235,183.50x = 265,638,706,202.25
  5. Step 5: Solve for x
    x = 265,638,706,202.25/235,183.50
  6. Step 6: Final answer
    x = 1,129,495.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.