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Finding the Third Proportional to 190,850 and 407,944

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Solution

The third proportional to 190,850 and 407,944 is: 871,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,850 : 407,944 = 407,944 : x
  2. Step 2: Convert to fraction form
    190,850/407,944 = 407,944/x
  3. Step 3: Cross multiply
    190,850x = 407,944 × 407,944
  4. Step 4: Simplify right side
    190,850x = 166,418,307,136
  5. Step 5: Solve for x
    x = 166,418,307,136/190,850
  6. Step 6: Final answer
    x = 871,984.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.