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Finding the Third Proportional to 133,632 and 285,056

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Solution

The third proportional to 133,632 and 285,056 is: 608,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,632 : 285,056 = 285,056 : x
  2. Step 2: Convert to fraction form
    133,632/285,056 = 285,056/x
  3. Step 3: Cross multiply
    133,632x = 285,056 × 285,056
  4. Step 4: Simplify right side
    133,632x = 81,256,923,136
  5. Step 5: Solve for x
    x = 81,256,923,136/133,632
  6. Step 6: Final answer
    x = 608,064.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.