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Finding the Third Proportional to 192,871.13 and 289,119.38

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Solution

The third proportional to 192,871.13 and 289,119.38 is: 433,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,871.13 : 289,119.38 = 289,119.38 : x
  2. Step 2: Convert to fraction form
    192,871.13/289,119.38 = 289,119.38/x
  3. Step 3: Cross multiply
    192,871.13x = 289,119.38 × 289,119.38
  4. Step 4: Simplify right side
    192,871.13x = 83,590,013,000.39
  5. Step 5: Solve for x
    x = 83,590,013,000.39/192,871.13
  6. Step 6: Final answer
    x = 433,398.28

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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.