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Finding the Third Proportional to 192,514 and 297,523

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Solution

The third proportional to 192,514 and 297,523 is: 459,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,514 : 297,523 = 297,523 : x
  2. Step 2: Convert to fraction form
    192,514/297,523 = 297,523/x
  3. Step 3: Cross multiply
    192,514x = 297,523 × 297,523
  4. Step 4: Simplify right side
    192,514x = 88,519,935,529
  5. Step 5: Solve for x
    x = 88,519,935,529/192,514
  6. Step 6: Final answer
    x = 459,810.38

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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.