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Finding the Third Proportional to 191,000 and 404,764

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Solution

The third proportional to 191,000 and 404,764 is: 857,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,000 : 404,764 = 404,764 : x
  2. Step 2: Convert to fraction form
    191,000/404,764 = 404,764/x
  3. Step 3: Cross multiply
    191,000x = 404,764 × 404,764
  4. Step 4: Simplify right side
    191,000x = 163,833,895,696
  5. Step 5: Solve for x
    x = 163,833,895,696/191,000
  6. Step 6: Final answer
    x = 857,769.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.