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Finding the Third Proportional to 149,566.50 and 324,101.25

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Solution

The third proportional to 149,566.50 and 324,101.25 is: 702,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,566.50 : 324,101.25 = 324,101.25 : x
  2. Step 2: Convert to fraction form
    149,566.50/324,101.25 = 324,101.25/x
  3. Step 3: Cross multiply
    149,566.50x = 324,101.25 × 324,101.25
  4. Step 4: Simplify right side
    149,566.50x = 105,041,620,251.56
  5. Step 5: Solve for x
    x = 105,041,620,251.56/149,566.50
  6. Step 6: Final answer
    x = 702,307.14

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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.