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Finding the Third Proportional to 197,092 and 304,387

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Solution

The third proportional to 197,092 and 304,387 is: 470,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,092 : 304,387 = 304,387 : x
  2. Step 2: Convert to fraction form
    197,092/304,387 = 304,387/x
  3. Step 3: Cross multiply
    197,092x = 304,387 × 304,387
  4. Step 4: Simplify right side
    197,092x = 92,651,445,769
  5. Step 5: Solve for x
    x = 92,651,445,769/197,092
  6. Step 6: Final answer
    x = 470,092.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.