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Finding the Third Proportional to 194,065 and 308,593

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Solution

The third proportional to 194,065 and 308,593 is: 490,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,065 : 308,593 = 308,593 : x
  2. Step 2: Convert to fraction form
    194,065/308,593 = 308,593/x
  3. Step 3: Cross multiply
    194,065x = 308,593 × 308,593
  4. Step 4: Simplify right side
    194,065x = 95,229,639,649
  5. Step 5: Solve for x
    x = 95,229,639,649/194,065
  6. Step 6: Final answer
    x = 490,710.02

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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.