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Finding the Third Proportional to 159,828 and 344,564

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Solution

The third proportional to 159,828 and 344,564 is: 742,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,828 : 344,564 = 344,564 : x
  2. Step 2: Convert to fraction form
    159,828/344,564 = 344,564/x
  3. Step 3: Cross multiply
    159,828x = 344,564 × 344,564
  4. Step 4: Simplify right side
    159,828x = 118,724,350,096
  5. Step 5: Solve for x
    x = 118,724,350,096/159,828
  6. Step 6: Final answer
    x = 742,825.73

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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.