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Finding the Third Proportional to 190,036 and 401,432

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Solution

The third proportional to 190,036 and 401,432 is: 847,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,036 : 401,432 = 401,432 : x
  2. Step 2: Convert to fraction form
    190,036/401,432 = 401,432/x
  3. Step 3: Cross multiply
    190,036x = 401,432 × 401,432
  4. Step 4: Simplify right side
    190,036x = 161,147,650,624
  5. Step 5: Solve for x
    x = 161,147,650,624/190,036
  6. Step 6: Final answer
    x = 847,984.86

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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.