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Finding the Third Proportional to 196,850 and 462,157

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Solution

The third proportional to 196,850 and 462,157 is: 1,085,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,850 : 462,157 = 462,157 : x
  2. Step 2: Convert to fraction form
    196,850/462,157 = 462,157/x
  3. Step 3: Cross multiply
    196,850x = 462,157 × 462,157
  4. Step 4: Simplify right side
    196,850x = 213,589,092,649
  5. Step 5: Solve for x
    x = 213,589,092,649/196,850
  6. Step 6: Final answer
    x = 1,085,034.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.