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Finding the Third Proportional to 194,698.50 and 284,392.50

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Solution

The third proportional to 194,698.50 and 284,392.50 is: 415,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,698.50 : 284,392.50 = 284,392.50 : x
  2. Step 2: Convert to fraction form
    194,698.50/284,392.50 = 284,392.50/x
  3. Step 3: Cross multiply
    194,698.50x = 284,392.50 × 284,392.50
  4. Step 4: Simplify right side
    194,698.50x = 80,879,094,056.25
  5. Step 5: Solve for x
    x = 80,879,094,056.25/194,698.50
  6. Step 6: Final answer
    x = 415,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.