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Finding the Third Proportional to 150,276 and 224,943

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Solution

The third proportional to 150,276 and 224,943 is: 336,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,276 : 224,943 = 224,943 : x
  2. Step 2: Convert to fraction form
    150,276/224,943 = 224,943/x
  3. Step 3: Cross multiply
    150,276x = 224,943 × 224,943
  4. Step 4: Simplify right side
    150,276x = 50,599,353,249
  5. Step 5: Solve for x
    x = 50,599,353,249/150,276
  6. Step 6: Final answer
    x = 336,709.48

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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.