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Finding the Third Proportional to 195,356.81 and 414,694.69

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Solution

The third proportional to 195,356.81 and 414,694.69 is: 880,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,356.81 : 414,694.69 = 414,694.69 : x
  2. Step 2: Convert to fraction form
    195,356.81/414,694.69 = 414,694.69/x
  3. Step 3: Cross multiply
    195,356.81x = 414,694.69 × 414,694.69
  4. Step 4: Simplify right side
    195,356.81x = 171,971,683,840.72
  5. Step 5: Solve for x
    x = 171,971,683,840.72/195,356.81
  6. Step 6: Final answer
    x = 880,295.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.