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Finding the Third Proportional to 85,511.50 and 197,951

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Solution

The third proportional to 85,511.50 and 197,951 is: 458,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,511.50 : 197,951 = 197,951 : x
  2. Step 2: Convert to fraction form
    85,511.50/197,951 = 197,951/x
  3. Step 3: Cross multiply
    85,511.50x = 197,951 × 197,951
  4. Step 4: Simplify right side
    85,511.50x = 39,184,598,401
  5. Step 5: Solve for x
    x = 39,184,598,401/85,511.50
  6. Step 6: Final answer
    x = 458,237.76

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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.