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Finding the Third Proportional to 88,352 and 192,256

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Solution

The third proportional to 88,352 and 192,256 is: 418,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,352 : 192,256 = 192,256 : x
  2. Step 2: Convert to fraction form
    88,352/192,256 = 192,256/x
  3. Step 3: Cross multiply
    88,352x = 192,256 × 192,256
  4. Step 4: Simplify right side
    88,352x = 36,962,369,536
  5. Step 5: Solve for x
    x = 36,962,369,536/88,352
  6. Step 6: Final answer
    x = 418,353.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.