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Finding the Third Proportional to 191,658.75 and 403,167.75

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Solution

The third proportional to 191,658.75 and 403,167.75 is: 848,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,658.75 : 403,167.75 = 403,167.75 : x
  2. Step 2: Convert to fraction form
    191,658.75/403,167.75 = 403,167.75/x
  3. Step 3: Cross multiply
    191,658.75x = 403,167.75 × 403,167.75
  4. Step 4: Simplify right side
    191,658.75x = 162,544,234,640.06
  5. Step 5: Solve for x
    x = 162,544,234,640.06/191,658.75
  6. Step 6: Final answer
    x = 848,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.