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Finding the Third Proportional to 159,877 and 345,370

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Solution

The third proportional to 159,877 and 345,370 is: 746,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,877 : 345,370 = 345,370 : x
  2. Step 2: Convert to fraction form
    159,877/345,370 = 345,370/x
  3. Step 3: Cross multiply
    159,877x = 345,370 × 345,370
  4. Step 4: Simplify right side
    159,877x = 119,280,436,900
  5. Step 5: Solve for x
    x = 119,280,436,900/159,877
  6. Step 6: Final answer
    x = 746,076.28

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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.