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Finding the Third Proportional to 159,208 and 347,942

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Solution

The third proportional to 159,208 and 347,942 is: 760,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,208 : 347,942 = 347,942 : x
  2. Step 2: Convert to fraction form
    159,208/347,942 = 347,942/x
  3. Step 3: Cross multiply
    159,208x = 347,942 × 347,942
  4. Step 4: Simplify right side
    159,208x = 121,063,635,364
  5. Step 5: Solve for x
    x = 121,063,635,364/159,208
  6. Step 6: Final answer
    x = 760,411.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.