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Finding the Third Proportional to 102,945.75 and 222,294

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Solution

The third proportional to 102,945.75 and 222,294 is: 480,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,945.75 : 222,294 = 222,294 : x
  2. Step 2: Convert to fraction form
    102,945.75/222,294 = 222,294/x
  3. Step 3: Cross multiply
    102,945.75x = 222,294 × 222,294
  4. Step 4: Simplify right side
    102,945.75x = 49,414,622,436
  5. Step 5: Solve for x
    x = 49,414,622,436/102,945.75
  6. Step 6: Final answer
    x = 480,006.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.