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Finding the Third Proportional to 136,083.25 and 295,535

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Solution

The third proportional to 136,083.25 and 295,535 is: 641,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,083.25 : 295,535 = 295,535 : x
  2. Step 2: Convert to fraction form
    136,083.25/295,535 = 295,535/x
  3. Step 3: Cross multiply
    136,083.25x = 295,535 × 295,535
  4. Step 4: Simplify right side
    136,083.25x = 87,340,936,225
  5. Step 5: Solve for x
    x = 87,340,936,225/136,083.25
  6. Step 6: Final answer
    x = 641,819.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.