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Finding the Third Proportional to 195,718.50 and 417,064.50

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Solution

The third proportional to 195,718.50 and 417,064.50 is: 888,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,718.50 : 417,064.50 = 417,064.50 : x
  2. Step 2: Convert to fraction form
    195,718.50/417,064.50 = 417,064.50/x
  3. Step 3: Cross multiply
    195,718.50x = 417,064.50 × 417,064.50
  4. Step 4: Simplify right side
    195,718.50x = 173,942,797,160.25
  5. Step 5: Solve for x
    x = 173,942,797,160.25/195,718.50
  6. Step 6: Final answer
    x = 888,739.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.