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Finding the Third Proportional to 150,310.69 and 224,737.03

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Solution

The third proportional to 150,310.69 and 224,737.03 is: 336,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,310.69 : 224,737.03 = 224,737.03 : x
  2. Step 2: Convert to fraction form
    150,310.69/224,737.03 = 224,737.03/x
  3. Step 3: Cross multiply
    150,310.69x = 224,737.03 × 224,737.03
  4. Step 4: Simplify right side
    150,310.69x = 50,506,733,215.06
  5. Step 5: Solve for x
    x = 50,506,733,215.06/150,310.69
  6. Step 6: Final answer
    x = 336,015.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.