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Finding the Third Proportional to 156,984 and 224,199

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Solution

The third proportional to 156,984 and 224,199 is: 320,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,984 : 224,199 = 224,199 : x
  2. Step 2: Convert to fraction form
    156,984/224,199 = 224,199/x
  3. Step 3: Cross multiply
    156,984x = 224,199 × 224,199
  4. Step 4: Simplify right side
    156,984x = 50,265,191,601
  5. Step 5: Solve for x
    x = 50,265,191,601/156,984
  6. Step 6: Final answer
    x = 320,193.09

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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.