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Finding the Third Proportional to 145,264 and 197,144

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Solution

The third proportional to 145,264 and 197,144 is: 267,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264 : 197,144 = 197,144 : x
  2. Step 2: Convert to fraction form
    145,264/197,144 = 197,144/x
  3. Step 3: Cross multiply
    145,264x = 197,144 × 197,144
  4. Step 4: Simplify right side
    145,264x = 38,865,756,736
  5. Step 5: Solve for x
    x = 38,865,756,736/145,264
  6. Step 6: Final answer
    x = 267,552.57

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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.