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Finding the Third Proportional to 117,007 and 251,518

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Solution

The third proportional to 117,007 and 251,518 is: 540,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 251,518 = 251,518 : x
  2. Step 2: Convert to fraction form
    117,007/251,518 = 251,518/x
  3. Step 3: Cross multiply
    117,007x = 251,518 × 251,518
  4. Step 4: Simplify right side
    117,007x = 63,261,304,324
  5. Step 5: Solve for x
    x = 63,261,304,324/117,007
  6. Step 6: Final answer
    x = 540,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.