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Finding the Third Proportional to 145,324 and 197,250

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Solution

The third proportional to 145,324 and 197,250 is: 267,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,324 : 197,250 = 197,250 : x
  2. Step 2: Convert to fraction form
    145,324/197,250 = 197,250/x
  3. Step 3: Cross multiply
    145,324x = 197,250 × 197,250
  4. Step 4: Simplify right side
    145,324x = 38,907,562,500
  5. Step 5: Solve for x
    x = 38,907,562,500/145,324
  6. Step 6: Final answer
    x = 267,729.78

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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.