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Finding the Third Proportional to 117,058 and 256,324

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Solution

The third proportional to 117,058 and 256,324 is: 561,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,058 : 256,324 = 256,324 : x
  2. Step 2: Convert to fraction form
    117,058/256,324 = 256,324/x
  3. Step 3: Cross multiply
    117,058x = 256,324 × 256,324
  4. Step 4: Simplify right side
    117,058x = 65,701,992,976
  5. Step 5: Solve for x
    x = 65,701,992,976/117,058
  6. Step 6: Final answer
    x = 561,277.26

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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.