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Finding the Third Proportional to 192,576.38 and 288,900

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Solution

The third proportional to 192,576.38 and 288,900 is: 433,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,576.38 : 288,900 = 288,900 : x
  2. Step 2: Convert to fraction form
    192,576.38/288,900 = 288,900/x
  3. Step 3: Cross multiply
    192,576.38x = 288,900 × 288,900
  4. Step 4: Simplify right side
    192,576.38x = 83,463,210,000
  5. Step 5: Solve for x
    x = 83,463,210,000/192,576.38
  6. Step 6: Final answer
    x = 433,403.16

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Why These Related Problems?

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