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Finding the Third Proportional to 148,611.25 and 321,462

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Solution

The third proportional to 148,611.25 and 321,462 is: 695,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,611.25 : 321,462 = 321,462 : x
  2. Step 2: Convert to fraction form
    148,611.25/321,462 = 321,462/x
  3. Step 3: Cross multiply
    148,611.25x = 321,462 × 321,462
  4. Step 4: Simplify right side
    148,611.25x = 103,337,817,444
  5. Step 5: Solve for x
    x = 103,337,817,444/148,611.25
  6. Step 6: Final answer
    x = 695,356.63

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