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Finding the Third Proportional to 149,652.56 and 323,043.19

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Solution

The third proportional to 149,652.56 and 323,043.19 is: 697,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652.56 : 323,043.19 = 323,043.19 : x
  2. Step 2: Convert to fraction form
    149,652.56/323,043.19 = 323,043.19/x
  3. Step 3: Cross multiply
    149,652.56x = 323,043.19 × 323,043.19
  4. Step 4: Simplify right side
    149,652.56x = 104,356,900,990.16
  5. Step 5: Solve for x
    x = 104,356,900,990.16/149,652.56
  6. Step 6: Final answer
    x = 697,327.86

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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.