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Finding the Third Proportional to 202,003 and 299,100

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Solution

The third proportional to 202,003 and 299,100 is: 442,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003 : 299,100 = 299,100 : x
  2. Step 2: Convert to fraction form
    202,003/299,100 = 299,100/x
  3. Step 3: Cross multiply
    202,003x = 299,100 × 299,100
  4. Step 4: Simplify right side
    202,003x = 89,460,810,000
  5. Step 5: Solve for x
    x = 89,460,810,000/202,003
  6. Step 6: Final answer
    x = 442,868.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.