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Finding the Third Proportional to 192,076 and 280,730

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Solution

The third proportional to 192,076 and 280,730 is: 410,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,076 : 280,730 = 280,730 : x
  2. Step 2: Convert to fraction form
    192,076/280,730 = 280,730/x
  3. Step 3: Cross multiply
    192,076x = 280,730 × 280,730
  4. Step 4: Simplify right side
    192,076x = 78,809,332,900
  5. Step 5: Solve for x
    x = 78,809,332,900/192,076
  6. Step 6: Final answer
    x = 410,302.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.