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Finding the Third Proportional to 156,967 and 224,173

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Solution

The third proportional to 156,967 and 224,173 is: 320,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967 : 224,173 = 224,173 : x
  2. Step 2: Convert to fraction form
    156,967/224,173 = 224,173/x
  3. Step 3: Cross multiply
    156,967x = 224,173 × 224,173
  4. Step 4: Simplify right side
    156,967x = 50,253,533,929
  5. Step 5: Solve for x
    x = 50,253,533,929/156,967
  6. Step 6: Final answer
    x = 320,153.50

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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.