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Finding the Third Proportional to 149,314.50 and 323,534.75

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Solution

The third proportional to 149,314.50 and 323,534.75 is: 701,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314.50 : 323,534.75 = 323,534.75 : x
  2. Step 2: Convert to fraction form
    149,314.50/323,534.75 = 323,534.75/x
  3. Step 3: Cross multiply
    149,314.50x = 323,534.75 × 323,534.75
  4. Step 4: Simplify right side
    149,314.50x = 104,674,734,457.56
  5. Step 5: Solve for x
    x = 104,674,734,457.56/149,314.50
  6. Step 6: Final answer
    x = 701,035.29

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Why These Related Problems?

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