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Finding the Third Proportional to 194,582 and 422,378

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Solution

The third proportional to 194,582 and 422,378 is: 916,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,582 : 422,378 = 422,378 : x
  2. Step 2: Convert to fraction form
    194,582/422,378 = 422,378/x
  3. Step 3: Cross multiply
    194,582x = 422,378 × 422,378
  4. Step 4: Simplify right side
    194,582x = 178,403,174,884
  5. Step 5: Solve for x
    x = 178,403,174,884/194,582
  6. Step 6: Final answer
    x = 916,853.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.