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Finding the Third Proportional to 191,072 and 404,902

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Solution

The third proportional to 191,072 and 404,902 is: 858,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,072 : 404,902 = 404,902 : x
  2. Step 2: Convert to fraction form
    191,072/404,902 = 404,902/x
  3. Step 3: Cross multiply
    191,072x = 404,902 × 404,902
  4. Step 4: Simplify right side
    191,072x = 163,945,629,604
  5. Step 5: Solve for x
    x = 163,945,629,604/191,072
  6. Step 6: Final answer
    x = 858,030.64

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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.