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Finding the Third Proportional to 156,940 and 322,222

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Solution

The third proportional to 156,940 and 322,222 is: 661,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 322,222 = 322,222 : x
  2. Step 2: Convert to fraction form
    156,940/322,222 = 322,222/x
  3. Step 3: Cross multiply
    156,940x = 322,222 × 322,222
  4. Step 4: Simplify right side
    156,940x = 103,827,017,284
  5. Step 5: Solve for x
    x = 103,827,017,284/156,940
  6. Step 6: Final answer
    x = 661,571.41

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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.