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Finding the Third Proportional to 132,097.50 and 285,741

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Solution

The third proportional to 132,097.50 and 285,741 is: 618,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,097.50 : 285,741 = 285,741 : x
  2. Step 2: Convert to fraction form
    132,097.50/285,741 = 285,741/x
  3. Step 3: Cross multiply
    132,097.50x = 285,741 × 285,741
  4. Step 4: Simplify right side
    132,097.50x = 81,647,919,081
  5. Step 5: Solve for x
    x = 81,647,919,081/132,097.50
  6. Step 6: Final answer
    x = 618,088.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.