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Finding the Third Proportional to 159,453 and 216,648

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Solution

The third proportional to 159,453 and 216,648 is: 294,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,453 : 216,648 = 216,648 : x
  2. Step 2: Convert to fraction form
    159,453/216,648 = 216,648/x
  3. Step 3: Cross multiply
    159,453x = 216,648 × 216,648
  4. Step 4: Simplify right side
    159,453x = 46,936,355,904
  5. Step 5: Solve for x
    x = 46,936,355,904/159,453
  6. Step 6: Final answer
    x = 294,358.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.