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Finding the Third Proportional to 156,024 and 367,947

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Solution

The third proportional to 156,024 and 367,947 is: 867,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,024 : 367,947 = 367,947 : x
  2. Step 2: Convert to fraction form
    156,024/367,947 = 367,947/x
  3. Step 3: Cross multiply
    156,024x = 367,947 × 367,947
  4. Step 4: Simplify right side
    156,024x = 135,384,994,809
  5. Step 5: Solve for x
    x = 135,384,994,809/156,024
  6. Step 6: Final answer
    x = 867,719.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.