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Finding the Third Proportional to 192,880 and 423,124

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Solution

The third proportional to 192,880 and 423,124 is: 928,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,880 : 423,124 = 423,124 : x
  2. Step 2: Convert to fraction form
    192,880/423,124 = 423,124/x
  3. Step 3: Cross multiply
    192,880x = 423,124 × 423,124
  4. Step 4: Simplify right side
    192,880x = 179,033,919,376
  5. Step 5: Solve for x
    x = 179,033,919,376/192,880
  6. Step 6: Final answer
    x = 928,214.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.