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Finding the Third Proportional to 145,305 and 195,267

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Solution

The third proportional to 145,305 and 195,267 is: 262,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,305 : 195,267 = 195,267 : x
  2. Step 2: Convert to fraction form
    145,305/195,267 = 195,267/x
  3. Step 3: Cross multiply
    145,305x = 195,267 × 195,267
  4. Step 4: Simplify right side
    145,305x = 38,129,201,289
  5. Step 5: Solve for x
    x = 38,129,201,289/145,305
  6. Step 6: Final answer
    x = 262,408.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.