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Finding the Third Proportional to 203,610 and 434,268

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Solution

The third proportional to 203,610 and 434,268 is: 926,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,610 : 434,268 = 434,268 : x
  2. Step 2: Convert to fraction form
    203,610/434,268 = 434,268/x
  3. Step 3: Cross multiply
    203,610x = 434,268 × 434,268
  4. Step 4: Simplify right side
    203,610x = 188,588,695,824
  5. Step 5: Solve for x
    x = 188,588,695,824/203,610
  6. Step 6: Final answer
    x = 926,225.12

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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.