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Finding the Third Proportional to 169,619 and 224,272

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Solution

The third proportional to 169,619 and 224,272 is: 296,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,619 : 224,272 = 224,272 : x
  2. Step 2: Convert to fraction form
    169,619/224,272 = 224,272/x
  3. Step 3: Cross multiply
    169,619x = 224,272 × 224,272
  4. Step 4: Simplify right side
    169,619x = 50,297,929,984
  5. Step 5: Solve for x
    x = 50,297,929,984/169,619
  6. Step 6: Final answer
    x = 296,534.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.