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Finding the Third Proportional to 227,522 and 313,635

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Solution

The third proportional to 227,522 and 313,635 is: 432,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,522 : 313,635 = 313,635 : x
  2. Step 2: Convert to fraction form
    227,522/313,635 = 313,635/x
  3. Step 3: Cross multiply
    227,522x = 313,635 × 313,635
  4. Step 4: Simplify right side
    227,522x = 98,366,913,225
  5. Step 5: Solve for x
    x = 98,366,913,225/227,522
  6. Step 6: Final answer
    x = 432,340.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.