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Finding the Third Proportional to 150,096 and 237,672

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Solution

The third proportional to 150,096 and 237,672 is: 376,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096 : 237,672 = 237,672 : x
  2. Step 2: Convert to fraction form
    150,096/237,672 = 237,672/x
  3. Step 3: Cross multiply
    150,096x = 237,672 × 237,672
  4. Step 4: Simplify right side
    150,096x = 56,487,979,584
  5. Step 5: Solve for x
    x = 56,487,979,584/150,096
  6. Step 6: Final answer
    x = 376,345.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.