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Finding the Third Proportional to 156,949 and 322,160

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Solution

The third proportional to 156,949 and 322,160 is: 661,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,949 : 322,160 = 322,160 : x
  2. Step 2: Convert to fraction form
    156,949/322,160 = 322,160/x
  3. Step 3: Cross multiply
    156,949x = 322,160 × 322,160
  4. Step 4: Simplify right side
    156,949x = 103,787,065,600
  5. Step 5: Solve for x
    x = 103,787,065,600/156,949
  6. Step 6: Final answer
    x = 661,278.92

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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.