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Finding the Third Proportional to 194,976 and 264,913

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Solution

The third proportional to 194,976 and 264,913 is: 359,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 264,913 = 264,913 : x
  2. Step 2: Convert to fraction form
    194,976/264,913 = 264,913/x
  3. Step 3: Cross multiply
    194,976x = 264,913 × 264,913
  4. Step 4: Simplify right side
    194,976x = 70,178,897,569
  5. Step 5: Solve for x
    x = 70,178,897,569/194,976
  6. Step 6: Final answer
    x = 359,936.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.