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Finding the Third Proportional to 133,558 and 272,064

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Solution

The third proportional to 133,558 and 272,064 is: 554,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,558 : 272,064 = 272,064 : x
  2. Step 2: Convert to fraction form
    133,558/272,064 = 272,064/x
  3. Step 3: Cross multiply
    133,558x = 272,064 × 272,064
  4. Step 4: Simplify right side
    133,558x = 74,018,820,096
  5. Step 5: Solve for x
    x = 74,018,820,096/133,558
  6. Step 6: Final answer
    x = 554,207.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.