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Finding the Third Proportional to 133,032 and 285,748

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Solution

The third proportional to 133,032 and 285,748 is: 613,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 285,748 = 285,748 : x
  2. Step 2: Convert to fraction form
    133,032/285,748 = 285,748/x
  3. Step 3: Cross multiply
    133,032x = 285,748 × 285,748
  4. Step 4: Simplify right side
    133,032x = 81,651,919,504
  5. Step 5: Solve for x
    x = 81,651,919,504/133,032
  6. Step 6: Final answer
    x = 613,776.53

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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.