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Finding the Third Proportional to 190,409.25 and 418,179

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Solution

The third proportional to 190,409.25 and 418,179 is: 918,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,409.25 : 418,179 = 418,179 : x
  2. Step 2: Convert to fraction form
    190,409.25/418,179 = 418,179/x
  3. Step 3: Cross multiply
    190,409.25x = 418,179 × 418,179
  4. Step 4: Simplify right side
    190,409.25x = 174,873,676,041
  5. Step 5: Solve for x
    x = 174,873,676,041/190,409.25
  6. Step 6: Final answer
    x = 918,409.56

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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.