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Finding the Third Proportional to 106,767 and 246,834

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Solution

The third proportional to 106,767 and 246,834 is: 570,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,767 : 246,834 = 246,834 : x
  2. Step 2: Convert to fraction form
    106,767/246,834 = 246,834/x
  3. Step 3: Cross multiply
    106,767x = 246,834 × 246,834
  4. Step 4: Simplify right side
    106,767x = 60,927,023,556
  5. Step 5: Solve for x
    x = 60,927,023,556/106,767
  6. Step 6: Final answer
    x = 570,654.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.