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Finding the Third Proportional to 194,560 and 300,471

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Solution

The third proportional to 194,560 and 300,471 is: 464,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,560 : 300,471 = 300,471 : x
  2. Step 2: Convert to fraction form
    194,560/300,471 = 300,471/x
  3. Step 3: Cross multiply
    194,560x = 300,471 × 300,471
  4. Step 4: Simplify right side
    194,560x = 90,282,821,841
  5. Step 5: Solve for x
    x = 90,282,821,841/194,560
  6. Step 6: Final answer
    x = 464,035.89

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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.