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Finding the Third Proportional to 194,774 and 304,462

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Solution

The third proportional to 194,774 and 304,462 is: 475,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,774 : 304,462 = 304,462 : x
  2. Step 2: Convert to fraction form
    194,774/304,462 = 304,462/x
  3. Step 3: Cross multiply
    194,774x = 304,462 × 304,462
  4. Step 4: Simplify right side
    194,774x = 92,697,109,444
  5. Step 5: Solve for x
    x = 92,697,109,444/194,774
  6. Step 6: Final answer
    x = 475,921.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.