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Finding the Third Proportional to 190,184 and 401,591

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Solution

The third proportional to 190,184 and 401,591 is: 847,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,184 : 401,591 = 401,591 : x
  2. Step 2: Convert to fraction form
    190,184/401,591 = 401,591/x
  3. Step 3: Cross multiply
    190,184x = 401,591 × 401,591
  4. Step 4: Simplify right side
    190,184x = 161,275,331,281
  5. Step 5: Solve for x
    x = 161,275,331,281/190,184
  6. Step 6: Final answer
    x = 847,996.32

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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.