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Finding the Third Proportional to 192,498 and 296,261

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Solution

The third proportional to 192,498 and 296,261 is: 455,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,498 : 296,261 = 296,261 : x
  2. Step 2: Convert to fraction form
    192,498/296,261 = 296,261/x
  3. Step 3: Cross multiply
    192,498x = 296,261 × 296,261
  4. Step 4: Simplify right side
    192,498x = 87,770,580,121
  5. Step 5: Solve for x
    x = 87,770,580,121/192,498
  6. Step 6: Final answer
    x = 455,955.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.