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Finding the Third Proportional to 117,268 and 256,748

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Solution

The third proportional to 117,268 and 256,748 is: 562,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,268 : 256,748 = 256,748 : x
  2. Step 2: Convert to fraction form
    117,268/256,748 = 256,748/x
  3. Step 3: Cross multiply
    117,268x = 256,748 × 256,748
  4. Step 4: Simplify right side
    117,268x = 65,919,535,504
  5. Step 5: Solve for x
    x = 65,919,535,504/117,268
  6. Step 6: Final answer
    x = 562,127.23

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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.