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Finding the Third Proportional to 189,335.50 and 405,268

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Solution

The third proportional to 189,335.50 and 405,268 is: 867,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,335.50 : 405,268 = 405,268 : x
  2. Step 2: Convert to fraction form
    189,335.50/405,268 = 405,268/x
  3. Step 3: Cross multiply
    189,335.50x = 405,268 × 405,268
  4. Step 4: Simplify right side
    189,335.50x = 164,242,151,824
  5. Step 5: Solve for x
    x = 164,242,151,824/189,335.50
  6. Step 6: Final answer
    x = 867,466.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.