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Finding the Third Proportional to 84,426 and 197,241

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Solution

The third proportional to 84,426 and 197,241 is: 460,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,426 : 197,241 = 197,241 : x
  2. Step 2: Convert to fraction form
    84,426/197,241 = 197,241/x
  3. Step 3: Cross multiply
    84,426x = 197,241 × 197,241
  4. Step 4: Simplify right side
    84,426x = 38,904,012,081
  5. Step 5: Solve for x
    x = 38,904,012,081/84,426
  6. Step 6: Final answer
    x = 460,806.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.