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Finding the Third Proportional to 192,582 and 415,620

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Solution

The third proportional to 192,582 and 415,620 is: 896,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,582 : 415,620 = 415,620 : x
  2. Step 2: Convert to fraction form
    192,582/415,620 = 415,620/x
  3. Step 3: Cross multiply
    192,582x = 415,620 × 415,620
  4. Step 4: Simplify right side
    192,582x = 172,739,984,400
  5. Step 5: Solve for x
    x = 172,739,984,400/192,582
  6. Step 6: Final answer
    x = 896,968.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.