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Finding the Third Proportional to 145,329 and 197,256

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Solution

The third proportional to 145,329 and 197,256 is: 267,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,329 : 197,256 = 197,256 : x
  2. Step 2: Convert to fraction form
    145,329/197,256 = 197,256/x
  3. Step 3: Cross multiply
    145,329x = 197,256 × 197,256
  4. Step 4: Simplify right side
    145,329x = 38,909,929,536
  5. Step 5: Solve for x
    x = 38,909,929,536/145,329
  6. Step 6: Final answer
    x = 267,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.