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Finding the Third Proportional to 197,505.75 and 437,718

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Solution

The third proportional to 197,505.75 and 437,718 is: 970,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505.75 : 437,718 = 437,718 : x
  2. Step 2: Convert to fraction form
    197,505.75/437,718 = 437,718/x
  3. Step 3: Cross multiply
    197,505.75x = 437,718 × 437,718
  4. Step 4: Simplify right side
    197,505.75x = 191,597,047,524
  5. Step 5: Solve for x
    x = 191,597,047,524/197,505.75
  6. Step 6: Final answer
    x = 970,083.39

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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.