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Finding the Third Proportional to 150,236 and 224,886

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Solution

The third proportional to 150,236 and 224,886 is: 336,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,236 : 224,886 = 224,886 : x
  2. Step 2: Convert to fraction form
    150,236/224,886 = 224,886/x
  3. Step 3: Cross multiply
    150,236x = 224,886 × 224,886
  4. Step 4: Simplify right side
    150,236x = 50,573,712,996
  5. Step 5: Solve for x
    x = 50,573,712,996/150,236
  6. Step 6: Final answer
    x = 336,628.46

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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.