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Finding the Third Proportional to 132,822 and 285,331.50

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Solution

The third proportional to 132,822 and 285,331.50 is: 612,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,822 : 285,331.50 = 285,331.50 : x
  2. Step 2: Convert to fraction form
    132,822/285,331.50 = 285,331.50/x
  3. Step 3: Cross multiply
    132,822x = 285,331.50 × 285,331.50
  4. Step 4: Simplify right side
    132,822x = 81,414,064,892.25
  5. Step 5: Solve for x
    x = 81,414,064,892.25/132,822
  6. Step 6: Final answer
    x = 612,956.17

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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.