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Finding the Third Proportional to 203,202 and 301,861.50

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Solution

The third proportional to 203,202 and 301,861.50 is: 448,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202 : 301,861.50 = 301,861.50 : x
  2. Step 2: Convert to fraction form
    203,202/301,861.50 = 301,861.50/x
  3. Step 3: Cross multiply
    203,202x = 301,861.50 × 301,861.50
  4. Step 4: Simplify right side
    203,202x = 91,120,365,182.25
  5. Step 5: Solve for x
    x = 91,120,365,182.25/203,202
  6. Step 6: Final answer
    x = 448,422.58

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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.