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Finding the Third Proportional to 194,816 and 292,796

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Solution

The third proportional to 194,816 and 292,796 is: 440,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,816 : 292,796 = 292,796 : x
  2. Step 2: Convert to fraction form
    194,816/292,796 = 292,796/x
  3. Step 3: Cross multiply
    194,816x = 292,796 × 292,796
  4. Step 4: Simplify right side
    194,816x = 85,729,497,616
  5. Step 5: Solve for x
    x = 85,729,497,616/194,816
  6. Step 6: Final answer
    x = 440,053.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.