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Finding the Third Proportional to 194,460 and 422,117

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Solution

The third proportional to 194,460 and 422,117 is: 916,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,460 : 422,117 = 422,117 : x
  2. Step 2: Convert to fraction form
    194,460/422,117 = 422,117/x
  3. Step 3: Cross multiply
    194,460x = 422,117 × 422,117
  4. Step 4: Simplify right side
    194,460x = 178,182,761,689
  5. Step 5: Solve for x
    x = 178,182,761,689/194,460
  6. Step 6: Final answer
    x = 916,295.19

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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.