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Finding the Third Proportional to 202,059 and 313,753.50

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Solution

The third proportional to 202,059 and 313,753.50 is: 487,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,059 : 313,753.50 = 313,753.50 : x
  2. Step 2: Convert to fraction form
    202,059/313,753.50 = 313,753.50/x
  3. Step 3: Cross multiply
    202,059x = 313,753.50 × 313,753.50
  4. Step 4: Simplify right side
    202,059x = 98,441,258,762.25
  5. Step 5: Solve for x
    x = 98,441,258,762.25/202,059
  6. Step 6: Final answer
    x = 487,190.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.