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Finding the Third Proportional to 195,215 and 265,170

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Solution

The third proportional to 195,215 and 265,170 is: 360,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,215 : 265,170 = 265,170 : x
  2. Step 2: Convert to fraction form
    195,215/265,170 = 265,170/x
  3. Step 3: Cross multiply
    195,215x = 265,170 × 265,170
  4. Step 4: Simplify right side
    195,215x = 70,315,128,900
  5. Step 5: Solve for x
    x = 70,315,128,900/195,215
  6. Step 6: Final answer
    x = 360,193.27

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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.