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Finding the Third Proportional to 197,683.88 and 301,178.25

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Solution

The third proportional to 197,683.88 and 301,178.25 is: 458,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,683.88 : 301,178.25 = 301,178.25 : x
  2. Step 2: Convert to fraction form
    197,683.88/301,178.25 = 301,178.25/x
  3. Step 3: Cross multiply
    197,683.88x = 301,178.25 × 301,178.25
  4. Step 4: Simplify right side
    197,683.88x = 90,708,338,273.06
  5. Step 5: Solve for x
    x = 90,708,338,273.06/197,683.88
  6. Step 6: Final answer
    x = 458,855.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.