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Finding the Third Proportional to 195,771.94 and 427,497.75

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Solution

The third proportional to 195,771.94 and 427,497.75 is: 933,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,771.94 : 427,497.75 = 427,497.75 : x
  2. Step 2: Convert to fraction form
    195,771.94/427,497.75 = 427,497.75/x
  3. Step 3: Cross multiply
    195,771.94x = 427,497.75 × 427,497.75
  4. Step 4: Simplify right side
    195,771.94x = 182,754,326,255.06
  5. Step 5: Solve for x
    x = 182,754,326,255.06/195,771.94
  6. Step 6: Final answer
    x = 933,506.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.