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Finding the Third Proportional to 227,822 and 345,135

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Solution

The third proportional to 227,822 and 345,135 is: 522,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822 : 345,135 = 345,135 : x
  2. Step 2: Convert to fraction form
    227,822/345,135 = 345,135/x
  3. Step 3: Cross multiply
    227,822x = 345,135 × 345,135
  4. Step 4: Simplify right side
    227,822x = 119,118,168,225
  5. Step 5: Solve for x
    x = 119,118,168,225/227,822
  6. Step 6: Final answer
    x = 522,856.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.