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Finding the Third Proportional to 133,202 and 285,988

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Solution

The third proportional to 133,202 and 285,988 is: 614,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,202 : 285,988 = 285,988 : x
  2. Step 2: Convert to fraction form
    133,202/285,988 = 285,988/x
  3. Step 3: Cross multiply
    133,202x = 285,988 × 285,988
  4. Step 4: Simplify right side
    133,202x = 81,789,136,144
  5. Step 5: Solve for x
    x = 81,789,136,144/133,202
  6. Step 6: Final answer
    x = 614,023.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.