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Finding the Third Proportional to 194,539.22 and 418,139.72

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Solution

The third proportional to 194,539.22 and 418,139.72 is: 898,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,539.22 : 418,139.72 = 418,139.72 : x
  2. Step 2: Convert to fraction form
    194,539.22/418,139.72 = 418,139.72/x
  3. Step 3: Cross multiply
    194,539.22x = 418,139.72 × 418,139.72
  4. Step 4: Simplify right side
    194,539.22x = 174,840,824,396.33
  5. Step 5: Solve for x
    x = 174,840,824,396.33/194,539.22
  6. Step 6: Final answer
    x = 898,743.33

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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.