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Finding the Third Proportional to 202,408.50 and 301,972.50

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Solution

The third proportional to 202,408.50 and 301,972.50 is: 450,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408.50 : 301,972.50 = 301,972.50 : x
  2. Step 2: Convert to fraction form
    202,408.50/301,972.50 = 301,972.50/x
  3. Step 3: Cross multiply
    202,408.50x = 301,972.50 × 301,972.50
  4. Step 4: Simplify right side
    202,408.50x = 91,187,390,756.25
  5. Step 5: Solve for x
    x = 91,187,390,756.25/202,408.50
  6. Step 6: Final answer
    x = 450,511.67

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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.