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Finding the Third Proportional to 191,782 and 403,783

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Solution

The third proportional to 191,782 and 403,783 is: 850,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,782 : 403,783 = 403,783 : x
  2. Step 2: Convert to fraction form
    191,782/403,783 = 403,783/x
  3. Step 3: Cross multiply
    191,782x = 403,783 × 403,783
  4. Step 4: Simplify right side
    191,782x = 163,040,711,089
  5. Step 5: Solve for x
    x = 163,040,711,089/191,782
  6. Step 6: Final answer
    x = 850,135.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.