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Finding the Third Proportional to 159,769 and 344,439

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Solution

The third proportional to 159,769 and 344,439 is: 742,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,769 : 344,439 = 344,439 : x
  2. Step 2: Convert to fraction form
    159,769/344,439 = 344,439/x
  3. Step 3: Cross multiply
    159,769x = 344,439 × 344,439
  4. Step 4: Simplify right side
    159,769x = 118,638,224,721
  5. Step 5: Solve for x
    x = 118,638,224,721/159,769
  6. Step 6: Final answer
    x = 742,560.98

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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.