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Finding the Third Proportional to 117,190 and 242,684

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Solution

The third proportional to 117,190 and 242,684 is: 502,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190 : 242,684 = 242,684 : x
  2. Step 2: Convert to fraction form
    117,190/242,684 = 242,684/x
  3. Step 3: Cross multiply
    117,190x = 242,684 × 242,684
  4. Step 4: Simplify right side
    117,190x = 58,895,523,856
  5. Step 5: Solve for x
    x = 58,895,523,856/117,190
  6. Step 6: Final answer
    x = 502,564.42

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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.