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Finding the Third Proportional to 195,619.50 and 417,076.88

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Solution

The third proportional to 195,619.50 and 417,076.88 is: 889,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,619.50 : 417,076.88 = 417,076.88 : x
  2. Step 2: Convert to fraction form
    195,619.50/417,076.88 = 417,076.88/x
  3. Step 3: Cross multiply
    195,619.50x = 417,076.88 × 417,076.88
  4. Step 4: Simplify right side
    195,619.50x = 173,953,119,659.77
  5. Step 5: Solve for x
    x = 173,953,119,659.77/195,619.50
  6. Step 6: Final answer
    x = 889,242.23

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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.