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Finding the Third Proportional to 195,832.50 and 417,268.50

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Solution

The third proportional to 195,832.50 and 417,268.50 is: 889,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,832.50 : 417,268.50 = 417,268.50 : x
  2. Step 2: Convert to fraction form
    195,832.50/417,268.50 = 417,268.50/x
  3. Step 3: Cross multiply
    195,832.50x = 417,268.50 × 417,268.50
  4. Step 4: Simplify right side
    195,832.50x = 174,113,001,092.25
  5. Step 5: Solve for x
    x = 174,113,001,092.25/195,832.50
  6. Step 6: Final answer
    x = 889,091.45

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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.