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Finding the Third Proportional to 192,271.75 and 298,484.88

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Solution

The third proportional to 192,271.75 and 298,484.88 is: 463,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,271.75 : 298,484.88 = 298,484.88 : x
  2. Step 2: Convert to fraction form
    192,271.75/298,484.88 = 298,484.88/x
  3. Step 3: Cross multiply
    192,271.75x = 298,484.88 × 298,484.88
  4. Step 4: Simplify right side
    192,271.75x = 89,093,220,603.77
  5. Step 5: Solve for x
    x = 89,093,220,603.77/192,271.75
  6. Step 6: Final answer
    x = 463,371.35

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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.