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Finding the Third Proportional to 140,562 and 223,356

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Solution

The third proportional to 140,562 and 223,356 is: 354,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,562 : 223,356 = 223,356 : x
  2. Step 2: Convert to fraction form
    140,562/223,356 = 223,356/x
  3. Step 3: Cross multiply
    140,562x = 223,356 × 223,356
  4. Step 4: Simplify right side
    140,562x = 49,887,902,736
  5. Step 5: Solve for x
    x = 49,887,902,736/140,562
  6. Step 6: Final answer
    x = 354,917.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.