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Finding the Third Proportional to 106,477 and 232,879

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Solution

The third proportional to 106,477 and 232,879 is: 509,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477 : 232,879 = 232,879 : x
  2. Step 2: Convert to fraction form
    106,477/232,879 = 232,879/x
  3. Step 3: Cross multiply
    106,477x = 232,879 × 232,879
  4. Step 4: Simplify right side
    106,477x = 54,232,628,641
  5. Step 5: Solve for x
    x = 54,232,628,641/106,477
  6. Step 6: Final answer
    x = 509,336.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.