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Finding the Third Proportional to 191,898 and 419,988

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Solution

The third proportional to 191,898 and 419,988 is: 919,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898 : 419,988 = 419,988 : x
  2. Step 2: Convert to fraction form
    191,898/419,988 = 419,988/x
  3. Step 3: Cross multiply
    191,898x = 419,988 × 419,988
  4. Step 4: Simplify right side
    191,898x = 176,389,920,144
  5. Step 5: Solve for x
    x = 176,389,920,144/191,898
  6. Step 6: Final answer
    x = 919,185.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.