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Finding the Third Proportional to 194,064.50 and 308,592.75

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Solution

The third proportional to 194,064.50 and 308,592.75 is: 490,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,064.50 : 308,592.75 = 308,592.75 : x
  2. Step 2: Convert to fraction form
    194,064.50/308,592.75 = 308,592.75/x
  3. Step 3: Cross multiply
    194,064.50x = 308,592.75 × 308,592.75
  4. Step 4: Simplify right side
    194,064.50x = 95,229,485,352.56
  5. Step 5: Solve for x
    x = 95,229,485,352.56/194,064.50
  6. Step 6: Final answer
    x = 490,710.49

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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.