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Finding the Third Proportional to 135,847 and 295,033

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Solution

The third proportional to 135,847 and 295,033 is: 640,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,847 : 295,033 = 295,033 : x
  2. Step 2: Convert to fraction form
    135,847/295,033 = 295,033/x
  3. Step 3: Cross multiply
    135,847x = 295,033 × 295,033
  4. Step 4: Simplify right side
    135,847x = 87,044,471,089
  5. Step 5: Solve for x
    x = 87,044,471,089/135,847
  6. Step 6: Final answer
    x = 640,753.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.