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Finding the Third Proportional to 201,967 and 299,050

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Solution

The third proportional to 201,967 and 299,050 is: 442,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967 : 299,050 = 299,050 : x
  2. Step 2: Convert to fraction form
    201,967/299,050 = 299,050/x
  3. Step 3: Cross multiply
    201,967x = 299,050 × 299,050
  4. Step 4: Simplify right side
    201,967x = 89,430,902,500
  5. Step 5: Solve for x
    x = 89,430,902,500/201,967
  6. Step 6: Final answer
    x = 442,799.58

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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.