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Finding the Third Proportional to 192,277.55 and 298,468.55

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Solution

The third proportional to 192,277.55 and 298,468.55 is: 463,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,277.55 : 298,468.55 = 298,468.55 : x
  2. Step 2: Convert to fraction form
    192,277.55/298,468.55 = 298,468.55/x
  3. Step 3: Cross multiply
    192,277.55x = 298,468.55 × 298,468.55
  4. Step 4: Simplify right side
    192,277.55x = 89,083,473,473.67
  5. Step 5: Solve for x
    x = 89,083,473,473.67/192,277.55
  6. Step 6: Final answer
    x = 463,306.69

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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.