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Finding the Third Proportional to 194,539.75 and 418,140.75

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Solution

The third proportional to 194,539.75 and 418,140.75 is: 898,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,539.75 : 418,140.75 = 418,140.75 : x
  2. Step 2: Convert to fraction form
    194,539.75/418,140.75 = 418,140.75/x
  3. Step 3: Cross multiply
    194,539.75x = 418,140.75 × 418,140.75
  4. Step 4: Simplify right side
    194,539.75x = 174,841,686,810.56
  5. Step 5: Solve for x
    x = 174,841,686,810.56/194,539.75
  6. Step 6: Final answer
    x = 898,745.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.