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Finding the Third Proportional to 192,522 and 299,255

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Solution

The third proportional to 192,522 and 299,255 is: 465,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,522 : 299,255 = 299,255 : x
  2. Step 2: Convert to fraction form
    192,522/299,255 = 299,255/x
  3. Step 3: Cross multiply
    192,522x = 299,255 × 299,255
  4. Step 4: Simplify right side
    192,522x = 89,553,555,025
  5. Step 5: Solve for x
    x = 89,553,555,025/192,522
  6. Step 6: Final answer
    x = 465,160.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.