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Finding the Third Proportional to 156,084 and 335,841

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Solution

The third proportional to 156,084 and 335,841 is: 722,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,084 : 335,841 = 335,841 : x
  2. Step 2: Convert to fraction form
    156,084/335,841 = 335,841/x
  3. Step 3: Cross multiply
    156,084x = 335,841 × 335,841
  4. Step 4: Simplify right side
    156,084x = 112,789,177,281
  5. Step 5: Solve for x
    x = 112,789,177,281/156,084
  6. Step 6: Final answer
    x = 722,618.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.