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Finding the Third Proportional to 84,610.50 and 185,955

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Solution

The third proportional to 84,610.50 and 185,955 is: 408,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,610.50 : 185,955 = 185,955 : x
  2. Step 2: Convert to fraction form
    84,610.50/185,955 = 185,955/x
  3. Step 3: Cross multiply
    84,610.50x = 185,955 × 185,955
  4. Step 4: Simplify right side
    84,610.50x = 34,579,262,025
  5. Step 5: Solve for x
    x = 34,579,262,025/84,610.50
  6. Step 6: Final answer
    x = 408,687.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.