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Finding the Third Proportional to 192,139 and 288,827

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Solution

The third proportional to 192,139 and 288,827 is: 434,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,139 : 288,827 = 288,827 : x
  2. Step 2: Convert to fraction form
    192,139/288,827 = 288,827/x
  3. Step 3: Cross multiply
    192,139x = 288,827 × 288,827
  4. Step 4: Simplify right side
    192,139x = 83,421,035,929
  5. Step 5: Solve for x
    x = 83,421,035,929/192,139
  6. Step 6: Final answer
    x = 434,170.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.