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Finding the Third Proportional to 110,967.75 and 242,696.25

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Solution

The third proportional to 110,967.75 and 242,696.25 is: 530,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967.75 : 242,696.25 = 242,696.25 : x
  2. Step 2: Convert to fraction form
    110,967.75/242,696.25 = 242,696.25/x
  3. Step 3: Cross multiply
    110,967.75x = 242,696.25 × 242,696.25
  4. Step 4: Simplify right side
    110,967.75x = 58,901,469,764.06
  5. Step 5: Solve for x
    x = 58,901,469,764.06/110,967.75
  6. Step 6: Final answer
    x = 530,798.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.