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Finding the Third Proportional to 192,294 and 298,522.97

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Solution

The third proportional to 192,294 and 298,522.97 is: 463,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,294 : 298,522.97 = 298,522.97 : x
  2. Step 2: Convert to fraction form
    192,294/298,522.97 = 298,522.97/x
  3. Step 3: Cross multiply
    192,294x = 298,522.97 × 298,522.97
  4. Step 4: Simplify right side
    192,294x = 89,115,962,871.31
  5. Step 5: Solve for x
    x = 89,115,962,871.31/192,294
  6. Step 6: Final answer
    x = 463,436.00

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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.