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Finding the Third Proportional to 192,352 and 420,104

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Solution

The third proportional to 192,352 and 420,104 is: 917,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,352 : 420,104 = 420,104 : x
  2. Step 2: Convert to fraction form
    192,352/420,104 = 420,104/x
  3. Step 3: Cross multiply
    192,352x = 420,104 × 420,104
  4. Step 4: Simplify right side
    192,352x = 176,487,370,816
  5. Step 5: Solve for x
    x = 176,487,370,816/192,352
  6. Step 6: Final answer
    x = 917,522.93

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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.