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Finding the Third Proportional to 156,973 and 224,181

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Solution

The third proportional to 156,973 and 224,181 is: 320,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,973 : 224,181 = 224,181 : x
  2. Step 2: Convert to fraction form
    156,973/224,181 = 224,181/x
  3. Step 3: Cross multiply
    156,973x = 224,181 × 224,181
  4. Step 4: Simplify right side
    156,973x = 50,257,120,761
  5. Step 5: Solve for x
    x = 50,257,120,761/156,973
  6. Step 6: Final answer
    x = 320,164.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.