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Finding the Third Proportional to 242,400 and 566,144

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Solution

The third proportional to 242,400 and 566,144 is: 1,322,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,400 : 566,144 = 566,144 : x
  2. Step 2: Convert to fraction form
    242,400/566,144 = 566,144/x
  3. Step 3: Cross multiply
    242,400x = 566,144 × 566,144
  4. Step 4: Simplify right side
    242,400x = 320,519,028,736
  5. Step 5: Solve for x
    x = 320,519,028,736/242,400
  6. Step 6: Final answer
    x = 1,322,273.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.