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Finding the Third Proportional to 194,763 and 291,369

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Solution

The third proportional to 194,763 and 291,369 is: 435,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,763 : 291,369 = 291,369 : x
  2. Step 2: Convert to fraction form
    194,763/291,369 = 291,369/x
  3. Step 3: Cross multiply
    194,763x = 291,369 × 291,369
  4. Step 4: Simplify right side
    194,763x = 84,895,894,161
  5. Step 5: Solve for x
    x = 84,895,894,161/194,763
  6. Step 6: Final answer
    x = 435,893.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.