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Finding the Third Proportional to 133,224 and 289,944

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Solution

The third proportional to 133,224 and 289,944 is: 631,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224 : 289,944 = 289,944 : x
  2. Step 2: Convert to fraction form
    133,224/289,944 = 289,944/x
  3. Step 3: Cross multiply
    133,224x = 289,944 × 289,944
  4. Step 4: Simplify right side
    133,224x = 84,067,523,136
  5. Step 5: Solve for x
    x = 84,067,523,136/133,224
  6. Step 6: Final answer
    x = 631,023.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.