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Finding the Third Proportional to 194,040 and 289,863

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Solution

The third proportional to 194,040 and 289,863 is: 433,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,040 : 289,863 = 289,863 : x
  2. Step 2: Convert to fraction form
    194,040/289,863 = 289,863/x
  3. Step 3: Cross multiply
    194,040x = 289,863 × 289,863
  4. Step 4: Simplify right side
    194,040x = 84,020,558,769
  5. Step 5: Solve for x
    x = 84,020,558,769/194,040
  6. Step 6: Final answer
    x = 433,006.38

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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.