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Finding the Third Proportional to 197,868 and 425,733

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Solution

The third proportional to 197,868 and 425,733 is: 916,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,868 : 425,733 = 425,733 : x
  2. Step 2: Convert to fraction form
    197,868/425,733 = 425,733/x
  3. Step 3: Cross multiply
    197,868x = 425,733 × 425,733
  4. Step 4: Simplify right side
    197,868x = 181,248,587,289
  5. Step 5: Solve for x
    x = 181,248,587,289/197,868
  6. Step 6: Final answer
    x = 916,007.58

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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.