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Finding the Third Proportional to 190,088 and 401,632

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Solution

The third proportional to 190,088 and 401,632 is: 848,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,088 : 401,632 = 401,632 : x
  2. Step 2: Convert to fraction form
    190,088/401,632 = 401,632/x
  3. Step 3: Cross multiply
    190,088x = 401,632 × 401,632
  4. Step 4: Simplify right side
    190,088x = 161,308,263,424
  5. Step 5: Solve for x
    x = 161,308,263,424/190,088
  6. Step 6: Final answer
    x = 848,597.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.