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Finding the Third Proportional to 102,144 and 220,728

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Solution

The third proportional to 102,144 and 220,728 is: 476,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144 : 220,728 = 220,728 : x
  2. Step 2: Convert to fraction form
    102,144/220,728 = 220,728/x
  3. Step 3: Cross multiply
    102,144x = 220,728 × 220,728
  4. Step 4: Simplify right side
    102,144x = 48,720,849,984
  5. Step 5: Solve for x
    x = 48,720,849,984/102,144
  6. Step 6: Final answer
    x = 476,982.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.