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Finding the Third Proportional to 194,784.75 and 298,995.75

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Solution

The third proportional to 194,784.75 and 298,995.75 is: 458,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,784.75 : 298,995.75 = 298,995.75 : x
  2. Step 2: Convert to fraction form
    194,784.75/298,995.75 = 298,995.75/x
  3. Step 3: Cross multiply
    194,784.75x = 298,995.75 × 298,995.75
  4. Step 4: Simplify right side
    194,784.75x = 89,398,458,518.06
  5. Step 5: Solve for x
    x = 89,398,458,518.06/194,784.75
  6. Step 6: Final answer
    x = 458,960.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.