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Finding the Third Proportional to 155,008 and 324,034

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Solution

The third proportional to 155,008 and 324,034 is: 677,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,008 : 324,034 = 324,034 : x
  2. Step 2: Convert to fraction form
    155,008/324,034 = 324,034/x
  3. Step 3: Cross multiply
    155,008x = 324,034 × 324,034
  4. Step 4: Simplify right side
    155,008x = 104,998,033,156
  5. Step 5: Solve for x
    x = 104,998,033,156/155,008
  6. Step 6: Final answer
    x = 677,371.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.