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Finding the Third Proportional to 198,370.50 and 468,201

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Solution

The third proportional to 198,370.50 and 468,201 is: 1,105,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,370.50 : 468,201 = 468,201 : x
  2. Step 2: Convert to fraction form
    198,370.50/468,201 = 468,201/x
  3. Step 3: Cross multiply
    198,370.50x = 468,201 × 468,201
  4. Step 4: Simplify right side
    198,370.50x = 219,212,176,401
  5. Step 5: Solve for x
    x = 219,212,176,401/198,370.50
  6. Step 6: Final answer
    x = 1,105,064.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.