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Finding the Third Proportional to 62,401 and 143,330.50

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Solution

The third proportional to 62,401 and 143,330.50 is: 329,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,401 : 143,330.50 = 143,330.50 : x
  2. Step 2: Convert to fraction form
    62,401/143,330.50 = 143,330.50/x
  3. Step 3: Cross multiply
    62,401x = 143,330.50 × 143,330.50
  4. Step 4: Simplify right side
    62,401x = 20,543,632,230.25
  5. Step 5: Solve for x
    x = 20,543,632,230.25/62,401
  6. Step 6: Final answer
    x = 329,219.60

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.