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Finding the Third Proportional to 141,518 and 192,297

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Solution

The third proportional to 141,518 and 192,297 is: 261,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,518 : 192,297 = 192,297 : x
  2. Step 2: Convert to fraction form
    141,518/192,297 = 192,297/x
  3. Step 3: Cross multiply
    141,518x = 192,297 × 192,297
  4. Step 4: Simplify right side
    141,518x = 36,978,136,209
  5. Step 5: Solve for x
    x = 36,978,136,209/141,518
  6. Step 6: Final answer
    x = 261,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.