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Finding the Third Proportional to 159,084 and 224,796

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Solution

The third proportional to 159,084 and 224,796 is: 317,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,084 : 224,796 = 224,796 : x
  2. Step 2: Convert to fraction form
    159,084/224,796 = 224,796/x
  3. Step 3: Cross multiply
    159,084x = 224,796 × 224,796
  4. Step 4: Simplify right side
    159,084x = 50,533,241,616
  5. Step 5: Solve for x
    x = 50,533,241,616/159,084
  6. Step 6: Final answer
    x = 317,651.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.