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Finding the Third Proportional to 229,546 and 307,869

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Solution

The third proportional to 229,546 and 307,869 is: 412,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,546 : 307,869 = 307,869 : x
  2. Step 2: Convert to fraction form
    229,546/307,869 = 307,869/x
  3. Step 3: Cross multiply
    229,546x = 307,869 × 307,869
  4. Step 4: Simplify right side
    229,546x = 94,783,321,161
  5. Step 5: Solve for x
    x = 94,783,321,161/229,546
  6. Step 6: Final answer
    x = 412,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.