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Finding the Third Proportional to 190,726 and 418,796

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Solution

The third proportional to 190,726 and 418,796 is: 919,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,726 : 418,796 = 418,796 : x
  2. Step 2: Convert to fraction form
    190,726/418,796 = 418,796/x
  3. Step 3: Cross multiply
    190,726x = 418,796 × 418,796
  4. Step 4: Simplify right side
    190,726x = 175,390,089,616
  5. Step 5: Solve for x
    x = 175,390,089,616/190,726
  6. Step 6: Final answer
    x = 919,591.93

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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.