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Finding the Third Proportional to 135,782 and 295,660

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Solution

The third proportional to 135,782 and 295,660 is: 643,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782 : 295,660 = 295,660 : x
  2. Step 2: Convert to fraction form
    135,782/295,660 = 295,660/x
  3. Step 3: Cross multiply
    135,782x = 295,660 × 295,660
  4. Step 4: Simplify right side
    135,782x = 87,414,835,600
  5. Step 5: Solve for x
    x = 87,414,835,600/135,782
  6. Step 6: Final answer
    x = 643,788.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.