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Finding the Third Proportional to 150,276 and 224,940

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Solution

The third proportional to 150,276 and 224,940 is: 336,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,276 : 224,940 = 224,940 : x
  2. Step 2: Convert to fraction form
    150,276/224,940 = 224,940/x
  3. Step 3: Cross multiply
    150,276x = 224,940 × 224,940
  4. Step 4: Simplify right side
    150,276x = 50,598,003,600
  5. Step 5: Solve for x
    x = 50,598,003,600/150,276
  6. Step 6: Final answer
    x = 336,700.50

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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.