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Finding the Third Proportional to 194,874 and 293,592

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Solution

The third proportional to 194,874 and 293,592 is: 442,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,874 : 293,592 = 293,592 : x
  2. Step 2: Convert to fraction form
    194,874/293,592 = 293,592/x
  3. Step 3: Cross multiply
    194,874x = 293,592 × 293,592
  4. Step 4: Simplify right side
    194,874x = 86,196,262,464
  5. Step 5: Solve for x
    x = 86,196,262,464/194,874
  6. Step 6: Final answer
    x = 442,317.92

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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.