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Finding the Third Proportional to 193,735.88 and 417,157.88

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Solution

The third proportional to 193,735.88 and 417,157.88 is: 898,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,735.88 : 417,157.88 = 417,157.88 : x
  2. Step 2: Convert to fraction form
    193,735.88/417,157.88 = 417,157.88/x
  3. Step 3: Cross multiply
    193,735.88x = 417,157.88 × 417,157.88
  4. Step 4: Simplify right side
    193,735.88x = 174,020,692,674.52
  5. Step 5: Solve for x
    x = 174,020,692,674.52/193,735.88
  6. Step 6: Final answer
    x = 898,236.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.