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Finding the Third Proportional to 118,947 and 256,462

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Solution

The third proportional to 118,947 and 256,462 is: 552,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,947 : 256,462 = 256,462 : x
  2. Step 2: Convert to fraction form
    118,947/256,462 = 256,462/x
  3. Step 3: Cross multiply
    118,947x = 256,462 × 256,462
  4. Step 4: Simplify right side
    118,947x = 65,772,757,444
  5. Step 5: Solve for x
    x = 65,772,757,444/118,947
  6. Step 6: Final answer
    x = 552,958.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.