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Finding the Third Proportional to 164,049.75 and 357,745.50

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Solution

The third proportional to 164,049.75 and 357,745.50 is: 780,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049.75 : 357,745.50 = 357,745.50 : x
  2. Step 2: Convert to fraction form
    164,049.75/357,745.50 = 357,745.50/x
  3. Step 3: Cross multiply
    164,049.75x = 357,745.50 × 357,745.50
  4. Step 4: Simplify right side
    164,049.75x = 127,981,842,770.25
  5. Step 5: Solve for x
    x = 127,981,842,770.25/164,049.75
  6. Step 6: Final answer
    x = 780,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.