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Finding the Third Proportional to 117,836 and 242,584

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Solution

The third proportional to 117,836 and 242,584 is: 499,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,836 : 242,584 = 242,584 : x
  2. Step 2: Convert to fraction form
    117,836/242,584 = 242,584/x
  3. Step 3: Cross multiply
    117,836x = 242,584 × 242,584
  4. Step 4: Simplify right side
    117,836x = 58,846,997,056
  5. Step 5: Solve for x
    x = 58,846,997,056/117,836
  6. Step 6: Final answer
    x = 499,397.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.