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Finding the Third Proportional to 151,834.50 and 221,899.50

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Solution

The third proportional to 151,834.50 and 221,899.50 is: 324,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834.50 : 221,899.50 = 221,899.50 : x
  2. Step 2: Convert to fraction form
    151,834.50/221,899.50 = 221,899.50/x
  3. Step 3: Cross multiply
    151,834.50x = 221,899.50 × 221,899.50
  4. Step 4: Simplify right side
    151,834.50x = 49,239,388,100.25
  5. Step 5: Solve for x
    x = 49,239,388,100.25/151,834.50
  6. Step 6: Final answer
    x = 324,296.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.