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Finding the Third Proportional to 142,401.50 and 303,211

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Solution

The third proportional to 142,401.50 and 303,211 is: 645,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,401.50 : 303,211 = 303,211 : x
  2. Step 2: Convert to fraction form
    142,401.50/303,211 = 303,211/x
  3. Step 3: Cross multiply
    142,401.50x = 303,211 × 303,211
  4. Step 4: Simplify right side
    142,401.50x = 91,936,910,521
  5. Step 5: Solve for x
    x = 91,936,910,521/142,401.50
  6. Step 6: Final answer
    x = 645,617.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.