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Finding the Third Proportional to 149,362 and 322,493

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Solution

The third proportional to 149,362 and 322,493 is: 696,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,362 : 322,493 = 322,493 : x
  2. Step 2: Convert to fraction form
    149,362/322,493 = 322,493/x
  3. Step 3: Cross multiply
    149,362x = 322,493 × 322,493
  4. Step 4: Simplify right side
    149,362x = 104,001,735,049
  5. Step 5: Solve for x
    x = 104,001,735,049/149,362
  6. Step 6: Final answer
    x = 696,306.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.