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Finding the Third Proportional to 194,922 and 427,071

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Solution

The third proportional to 194,922 and 427,071 is: 935,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,922 : 427,071 = 427,071 : x
  2. Step 2: Convert to fraction form
    194,922/427,071 = 427,071/x
  3. Step 3: Cross multiply
    194,922x = 427,071 × 427,071
  4. Step 4: Simplify right side
    194,922x = 182,389,639,041
  5. Step 5: Solve for x
    x = 182,389,639,041/194,922
  6. Step 6: Final answer
    x = 935,705.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.