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Finding the Third Proportional to 110,202 and 238,728

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Solution

The third proportional to 110,202 and 238,728 is: 517,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,202 : 238,728 = 238,728 : x
  2. Step 2: Convert to fraction form
    110,202/238,728 = 238,728/x
  3. Step 3: Cross multiply
    110,202x = 238,728 × 238,728
  4. Step 4: Simplify right side
    110,202x = 56,991,057,984
  5. Step 5: Solve for x
    x = 56,991,057,984/110,202
  6. Step 6: Final answer
    x = 517,150.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.