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Finding the Third Proportional to 117,175 and 250,958

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Solution

The third proportional to 117,175 and 250,958 is: 537,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,175 : 250,958 = 250,958 : x
  2. Step 2: Convert to fraction form
    117,175/250,958 = 250,958/x
  3. Step 3: Cross multiply
    117,175x = 250,958 × 250,958
  4. Step 4: Simplify right side
    117,175x = 62,979,917,764
  5. Step 5: Solve for x
    x = 62,979,917,764/117,175
  6. Step 6: Final answer
    x = 537,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.