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Finding the Third Proportional to 159,839 and 344,581

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Solution

The third proportional to 159,839 and 344,581 is: 742,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,839 : 344,581 = 344,581 : x
  2. Step 2: Convert to fraction form
    159,839/344,581 = 344,581/x
  3. Step 3: Cross multiply
    159,839x = 344,581 × 344,581
  4. Step 4: Simplify right side
    159,839x = 118,736,065,561
  5. Step 5: Solve for x
    x = 118,736,065,561/159,839
  6. Step 6: Final answer
    x = 742,847.90

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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.