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Finding the Third Proportional to 114,246 and 248,094

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Solution

The third proportional to 114,246 and 248,094 is: 538,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,246 : 248,094 = 248,094 : x
  2. Step 2: Convert to fraction form
    114,246/248,094 = 248,094/x
  3. Step 3: Cross multiply
    114,246x = 248,094 × 248,094
  4. Step 4: Simplify right side
    114,246x = 61,550,632,836
  5. Step 5: Solve for x
    x = 61,550,632,836/114,246
  6. Step 6: Final answer
    x = 538,755.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.