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Finding the Third Proportional to 117,193.50 and 242,696.25

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Solution

The third proportional to 117,193.50 and 242,696.25 is: 502,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,193.50 : 242,696.25 = 242,696.25 : x
  2. Step 2: Convert to fraction form
    117,193.50/242,696.25 = 242,696.25/x
  3. Step 3: Cross multiply
    117,193.50x = 242,696.25 × 242,696.25
  4. Step 4: Simplify right side
    117,193.50x = 58,901,469,764.06
  5. Step 5: Solve for x
    x = 58,901,469,764.06/117,193.50
  6. Step 6: Final answer
    x = 502,600.14

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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.