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Finding the Third Proportional to 222,070.50 and 331,624.69

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Solution

The third proportional to 222,070.50 and 331,624.69 is: 495,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,070.50 : 331,624.69 = 331,624.69 : x
  2. Step 2: Convert to fraction form
    222,070.50/331,624.69 = 331,624.69/x
  3. Step 3: Cross multiply
    222,070.50x = 331,624.69 × 331,624.69
  4. Step 4: Simplify right side
    222,070.50x = 109,974,933,359.47
  5. Step 5: Solve for x
    x = 109,974,933,359.47/222,070.50
  6. Step 6: Final answer
    x = 495,225.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.