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Finding the Third Proportional to 194,799 and 477,138

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Solution

The third proportional to 194,799 and 477,138 is: 1,168,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,799 : 477,138 = 477,138 : x
  2. Step 2: Convert to fraction form
    194,799/477,138 = 477,138/x
  3. Step 3: Cross multiply
    194,799x = 477,138 × 477,138
  4. Step 4: Simplify right side
    194,799x = 227,660,671,044
  5. Step 5: Solve for x
    x = 227,660,671,044/194,799
  6. Step 6: Final answer
    x = 1,168,695.28

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.