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Finding the Third Proportional to 159,417 and 340,164

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Solution

The third proportional to 159,417 and 340,164 is: 725,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,417 : 340,164 = 340,164 : x
  2. Step 2: Convert to fraction form
    159,417/340,164 = 340,164/x
  3. Step 3: Cross multiply
    159,417x = 340,164 × 340,164
  4. Step 4: Simplify right side
    159,417x = 115,711,546,896
  5. Step 5: Solve for x
    x = 115,711,546,896/159,417
  6. Step 6: Final answer
    x = 725,841.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.