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Finding the Third Proportional to 133,164 and 282,852

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Solution

The third proportional to 133,164 and 282,852 is: 600,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 282,852 = 282,852 : x
  2. Step 2: Convert to fraction form
    133,164/282,852 = 282,852/x
  3. Step 3: Cross multiply
    133,164x = 282,852 × 282,852
  4. Step 4: Simplify right side
    133,164x = 80,005,253,904
  5. Step 5: Solve for x
    x = 80,005,253,904/133,164
  6. Step 6: Final answer
    x = 600,802.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.