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Finding the Third Proportional to 117,288 and 257,904

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Solution

The third proportional to 117,288 and 257,904 is: 567,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 257,904 = 257,904 : x
  2. Step 2: Convert to fraction form
    117,288/257,904 = 257,904/x
  3. Step 3: Cross multiply
    117,288x = 257,904 × 257,904
  4. Step 4: Simplify right side
    117,288x = 66,514,473,216
  5. Step 5: Solve for x
    x = 66,514,473,216/117,288
  6. Step 6: Final answer
    x = 567,103.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.