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Finding the Third Proportional to 194,094 and 308,637

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Solution

The third proportional to 194,094 and 308,637 is: 490,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,094 : 308,637 = 308,637 : x
  2. Step 2: Convert to fraction form
    194,094/308,637 = 308,637/x
  3. Step 3: Cross multiply
    194,094x = 308,637 × 308,637
  4. Step 4: Simplify right side
    194,094x = 95,256,797,769
  5. Step 5: Solve for x
    x = 95,256,797,769/194,094
  6. Step 6: Final answer
    x = 490,776.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.