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Finding the Third Proportional to 197,042 and 427,012

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Solution

The third proportional to 197,042 and 427,012 is: 925,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,042 : 427,012 = 427,012 : x
  2. Step 2: Convert to fraction form
    197,042/427,012 = 427,012/x
  3. Step 3: Cross multiply
    197,042x = 427,012 × 427,012
  4. Step 4: Simplify right side
    197,042x = 182,339,248,144
  5. Step 5: Solve for x
    x = 182,339,248,144/197,042
  6. Step 6: Final answer
    x = 925,382.65

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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.