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Finding the Third Proportional to 149,314.01 and 323,533.62

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Solution

The third proportional to 149,314.01 and 323,533.62 is: 701,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.01 : 323,533.62 = 323,533.62 : x
  2. Step 2: Convert to fraction form
    149,314.01/323,533.62 = 323,533.62/x
  3. Step 3: Cross multiply
    149,314.01x = 323,533.62 × 323,533.62
  4. Step 4: Simplify right side
    149,314.01x = 104,674,001,450.43
  5. Step 5: Solve for x
    x = 104,674,001,450.43/149,314.01
  6. Step 6: Final answer
    x = 701,032.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.