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Finding the Third Proportional to 118,736 and 242,316

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Solution

The third proportional to 118,736 and 242,316 is: 494,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,736 : 242,316 = 242,316 : x
  2. Step 2: Convert to fraction form
    118,736/242,316 = 242,316/x
  3. Step 3: Cross multiply
    118,736x = 242,316 × 242,316
  4. Step 4: Simplify right side
    118,736x = 58,717,043,856
  5. Step 5: Solve for x
    x = 58,717,043,856/118,736
  6. Step 6: Final answer
    x = 494,517.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.