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Finding the Third Proportional to 156,674.50 and 321,644

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Solution

The third proportional to 156,674.50 and 321,644 is: 660,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,674.50 : 321,644 = 321,644 : x
  2. Step 2: Convert to fraction form
    156,674.50/321,644 = 321,644/x
  3. Step 3: Cross multiply
    156,674.50x = 321,644 × 321,644
  4. Step 4: Simplify right side
    156,674.50x = 103,454,862,736
  5. Step 5: Solve for x
    x = 103,454,862,736/156,674.50
  6. Step 6: Final answer
    x = 660,317.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.