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Finding the Third Proportional to 200,031 and 472,188.75

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Solution

The third proportional to 200,031 and 472,188.75 is: 1,114,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031 : 472,188.75 = 472,188.75 : x
  2. Step 2: Convert to fraction form
    200,031/472,188.75 = 472,188.75/x
  3. Step 3: Cross multiply
    200,031x = 472,188.75 × 472,188.75
  4. Step 4: Simplify right side
    200,031x = 222,962,215,626.56
  5. Step 5: Solve for x
    x = 222,962,215,626.56/200,031
  6. Step 6: Final answer
    x = 1,114,638.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.