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Finding the Third Proportional to 159,836 and 344,600

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Solution

The third proportional to 159,836 and 344,600 is: 742,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,836 : 344,600 = 344,600 : x
  2. Step 2: Convert to fraction form
    159,836/344,600 = 344,600/x
  3. Step 3: Cross multiply
    159,836x = 344,600 × 344,600
  4. Step 4: Simplify right side
    159,836x = 118,749,160,000
  5. Step 5: Solve for x
    x = 118,749,160,000/159,836
  6. Step 6: Final answer
    x = 742,943.77

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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.