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Finding the Third Proportional to 194,048 and 289,878

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Solution

The third proportional to 194,048 and 289,878 is: 433,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,048 : 289,878 = 289,878 : x
  2. Step 2: Convert to fraction form
    194,048/289,878 = 289,878/x
  3. Step 3: Cross multiply
    194,048x = 289,878 × 289,878
  4. Step 4: Simplify right side
    194,048x = 84,029,254,884
  5. Step 5: Solve for x
    x = 84,029,254,884/194,048
  6. Step 6: Final answer
    x = 433,033.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.