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Finding the Third Proportional to 117,186 and 242,676

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Solution

The third proportional to 117,186 and 242,676 is: 502,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,186 : 242,676 = 242,676 : x
  2. Step 2: Convert to fraction form
    117,186/242,676 = 242,676/x
  3. Step 3: Cross multiply
    117,186x = 242,676 × 242,676
  4. Step 4: Simplify right side
    117,186x = 58,891,640,976
  5. Step 5: Solve for x
    x = 58,891,640,976/117,186
  6. Step 6: Final answer
    x = 502,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.