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Finding the Third Proportional to 220,251 and 334,989.50

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Solution

The third proportional to 220,251 and 334,989.50 is: 509,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,251 : 334,989.50 = 334,989.50 : x
  2. Step 2: Convert to fraction form
    220,251/334,989.50 = 334,989.50/x
  3. Step 3: Cross multiply
    220,251x = 334,989.50 × 334,989.50
  4. Step 4: Simplify right side
    220,251x = 112,217,965,110.25
  5. Step 5: Solve for x
    x = 112,217,965,110.25/220,251
  6. Step 6: Final answer
    x = 509,500.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.