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Finding the Third Proportional to 117,228 and 242,756

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Solution

The third proportional to 117,228 and 242,756 is: 502,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,228 : 242,756 = 242,756 : x
  2. Step 2: Convert to fraction form
    117,228/242,756 = 242,756/x
  3. Step 3: Cross multiply
    117,228x = 242,756 × 242,756
  4. Step 4: Simplify right side
    117,228x = 58,930,475,536
  5. Step 5: Solve for x
    x = 58,930,475,536/117,228
  6. Step 6: Final answer
    x = 502,699.66

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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.