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Finding the Third Proportional to 229,969.50 and 505,305

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Solution

The third proportional to 229,969.50 and 505,305 is: 1,110,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969.50 : 505,305 = 505,305 : x
  2. Step 2: Convert to fraction form
    229,969.50/505,305 = 505,305/x
  3. Step 3: Cross multiply
    229,969.50x = 505,305 × 505,305
  4. Step 4: Simplify right side
    229,969.50x = 255,333,143,025
  5. Step 5: Solve for x
    x = 255,333,143,025/229,969.50
  6. Step 6: Final answer
    x = 1,110,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.