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Finding the Third Proportional to 216,652 and 295,170

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Solution

The third proportional to 216,652 and 295,170 is: 402,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,652 : 295,170 = 295,170 : x
  2. Step 2: Convert to fraction form
    216,652/295,170 = 295,170/x
  3. Step 3: Cross multiply
    216,652x = 295,170 × 295,170
  4. Step 4: Simplify right side
    216,652x = 87,125,328,900
  5. Step 5: Solve for x
    x = 87,125,328,900/216,652
  6. Step 6: Final answer
    x = 402,144.12

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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.