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Finding the Third Proportional to 159,364 and 223,346

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Solution

The third proportional to 159,364 and 223,346 is: 313,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,364 : 223,346 = 223,346 : x
  2. Step 2: Convert to fraction form
    159,364/223,346 = 223,346/x
  3. Step 3: Cross multiply
    159,364x = 223,346 × 223,346
  4. Step 4: Simplify right side
    159,364x = 49,883,435,716
  5. Step 5: Solve for x
    x = 49,883,435,716/159,364
  6. Step 6: Final answer
    x = 313,015.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.