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Finding the Third Proportional to 145,320 and 197,244

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Solution

The third proportional to 145,320 and 197,244 is: 267,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,320 : 197,244 = 197,244 : x
  2. Step 2: Convert to fraction form
    145,320/197,244 = 197,244/x
  3. Step 3: Cross multiply
    145,320x = 197,244 × 197,244
  4. Step 4: Simplify right side
    145,320x = 38,905,195,536
  5. Step 5: Solve for x
    x = 38,905,195,536/145,320
  6. Step 6: Final answer
    x = 267,720.86

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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.