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Finding the Third Proportional to 117,297 and 255,771

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Solution

The third proportional to 117,297 and 255,771 is: 557,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,297 : 255,771 = 255,771 : x
  2. Step 2: Convert to fraction form
    117,297/255,771 = 255,771/x
  3. Step 3: Cross multiply
    117,297x = 255,771 × 255,771
  4. Step 4: Simplify right side
    117,297x = 65,418,804,441
  5. Step 5: Solve for x
    x = 65,418,804,441/117,297
  6. Step 6: Final answer
    x = 557,719.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.