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Finding the Third Proportional to 159,800 and 344,512

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Solution

The third proportional to 159,800 and 344,512 is: 742,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,800 : 344,512 = 344,512 : x
  2. Step 2: Convert to fraction form
    159,800/344,512 = 344,512/x
  3. Step 3: Cross multiply
    159,800x = 344,512 × 344,512
  4. Step 4: Simplify right side
    159,800x = 118,688,518,144
  5. Step 5: Solve for x
    x = 118,688,518,144/159,800
  6. Step 6: Final answer
    x = 742,731.65

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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.