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Finding the Third Proportional to 197,500 and 437,708

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Solution

The third proportional to 197,500 and 437,708 is: 970,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,500 : 437,708 = 437,708 : x
  2. Step 2: Convert to fraction form
    197,500/437,708 = 437,708/x
  3. Step 3: Cross multiply
    197,500x = 437,708 × 437,708
  4. Step 4: Simplify right side
    197,500x = 191,588,293,264
  5. Step 5: Solve for x
    x = 191,588,293,264/197,500
  6. Step 6: Final answer
    x = 970,067.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.