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Finding the Third Proportional to 192,522 and 417,120

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Solution

The third proportional to 192,522 and 417,120 is: 903,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,522 : 417,120 = 417,120 : x
  2. Step 2: Convert to fraction form
    192,522/417,120 = 417,120/x
  3. Step 3: Cross multiply
    192,522x = 417,120 × 417,120
  4. Step 4: Simplify right side
    192,522x = 173,989,094,400
  5. Step 5: Solve for x
    x = 173,989,094,400/192,522
  6. Step 6: Final answer
    x = 903,736.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.