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Finding the Third Proportional to 159,838 and 344,606

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Solution

The third proportional to 159,838 and 344,606 is: 742,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838 : 344,606 = 344,606 : x
  2. Step 2: Convert to fraction form
    159,838/344,606 = 344,606/x
  3. Step 3: Cross multiply
    159,838x = 344,606 × 344,606
  4. Step 4: Simplify right side
    159,838x = 118,753,295,236
  5. Step 5: Solve for x
    x = 118,753,295,236/159,838
  6. Step 6: Final answer
    x = 742,960.34

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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.