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Finding the Third Proportional to 149,647.50 and 332,511.75

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Solution

The third proportional to 149,647.50 and 332,511.75 is: 738,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647.50 : 332,511.75 = 332,511.75 : x
  2. Step 2: Convert to fraction form
    149,647.50/332,511.75 = 332,511.75/x
  3. Step 3: Cross multiply
    149,647.50x = 332,511.75 × 332,511.75
  4. Step 4: Simplify right side
    149,647.50x = 110,564,063,888.06
  5. Step 5: Solve for x
    x = 110,564,063,888.06/149,647.50
  6. Step 6: Final answer
    x = 738,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.