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Finding the Third Proportional to 85,325 and 186,201.50

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Solution

The third proportional to 85,325 and 186,201.50 is: 406,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,325 : 186,201.50 = 186,201.50 : x
  2. Step 2: Convert to fraction form
    85,325/186,201.50 = 186,201.50/x
  3. Step 3: Cross multiply
    85,325x = 186,201.50 × 186,201.50
  4. Step 4: Simplify right side
    85,325x = 34,670,998,602.25
  5. Step 5: Solve for x
    x = 34,670,998,602.25/85,325
  6. Step 6: Final answer
    x = 406,340.45

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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.