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Finding the Third Proportional to 191,800 and 403,822

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Solution

The third proportional to 191,800 and 403,822 is: 850,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,800 : 403,822 = 403,822 : x
  2. Step 2: Convert to fraction form
    191,800/403,822 = 403,822/x
  3. Step 3: Cross multiply
    191,800x = 403,822 × 403,822
  4. Step 4: Simplify right side
    191,800x = 163,072,207,684
  5. Step 5: Solve for x
    x = 163,072,207,684/191,800
  6. Step 6: Final answer
    x = 850,220.06

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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.