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Finding the Third Proportional to 210,272 and 315,096

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Solution

The third proportional to 210,272 and 315,096 is: 472,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,272 : 315,096 = 315,096 : x
  2. Step 2: Convert to fraction form
    210,272/315,096 = 315,096/x
  3. Step 3: Cross multiply
    210,272x = 315,096 × 315,096
  4. Step 4: Simplify right side
    210,272x = 99,285,489,216
  5. Step 5: Solve for x
    x = 99,285,489,216/210,272
  6. Step 6: Final answer
    x = 472,176.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.