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Finding the Third Proportional to 194,938 and 293,846

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Solution

The third proportional to 194,938 and 293,846 is: 442,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,938 : 293,846 = 293,846 : x
  2. Step 2: Convert to fraction form
    194,938/293,846 = 293,846/x
  3. Step 3: Cross multiply
    194,938x = 293,846 × 293,846
  4. Step 4: Simplify right side
    194,938x = 86,345,471,716
  5. Step 5: Solve for x
    x = 86,345,471,716/194,938
  6. Step 6: Final answer
    x = 442,938.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.