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Finding the Third Proportional to 117,297 and 257,922

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Solution

The third proportional to 117,297 and 257,922 is: 567,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,297 : 257,922 = 257,922 : x
  2. Step 2: Convert to fraction form
    117,297/257,922 = 257,922/x
  3. Step 3: Cross multiply
    117,297x = 257,922 × 257,922
  4. Step 4: Simplify right side
    117,297x = 66,523,758,084
  5. Step 5: Solve for x
    x = 66,523,758,084/117,297
  6. Step 6: Final answer
    x = 567,139.47

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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.