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Finding the Third Proportional to 146,446 and 301,637

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Solution

The third proportional to 146,446 and 301,637 is: 621,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,446 : 301,637 = 301,637 : x
  2. Step 2: Convert to fraction form
    146,446/301,637 = 301,637/x
  3. Step 3: Cross multiply
    146,446x = 301,637 × 301,637
  4. Step 4: Simplify right side
    146,446x = 90,984,879,769
  5. Step 5: Solve for x
    x = 90,984,879,769/146,446
  6. Step 6: Final answer
    x = 621,286.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.