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Finding the Third Proportional to 229,511.25 and 304,899.75

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Solution

The third proportional to 229,511.25 and 304,899.75 is: 405,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,511.25 : 304,899.75 = 304,899.75 : x
  2. Step 2: Convert to fraction form
    229,511.25/304,899.75 = 304,899.75/x
  3. Step 3: Cross multiply
    229,511.25x = 304,899.75 × 304,899.75
  4. Step 4: Simplify right side
    229,511.25x = 92,963,857,550.06
  5. Step 5: Solve for x
    x = 92,963,857,550.06/229,511.25
  6. Step 6: Final answer
    x = 405,051.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.