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Finding the Third Proportional to 194,044.50 and 289,872

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Solution

The third proportional to 194,044.50 and 289,872 is: 433,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,044.50 : 289,872 = 289,872 : x
  2. Step 2: Convert to fraction form
    194,044.50/289,872 = 289,872/x
  3. Step 3: Cross multiply
    194,044.50x = 289,872 × 289,872
  4. Step 4: Simplify right side
    194,044.50x = 84,025,776,384
  5. Step 5: Solve for x
    x = 84,025,776,384/194,044.50
  6. Step 6: Final answer
    x = 433,023.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.