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Finding the Third Proportional to 85,518.50 and 197,954

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Solution

The third proportional to 85,518.50 and 197,954 is: 458,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,518.50 : 197,954 = 197,954 : x
  2. Step 2: Convert to fraction form
    85,518.50/197,954 = 197,954/x
  3. Step 3: Cross multiply
    85,518.50x = 197,954 × 197,954
  4. Step 4: Simplify right side
    85,518.50x = 39,185,786,116
  5. Step 5: Solve for x
    x = 39,185,786,116/85,518.50
  6. Step 6: Final answer
    x = 458,214.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.