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Finding the Third Proportional to 201,202 and 437,004

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Solution

The third proportional to 201,202 and 437,004 is: 949,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202 : 437,004 = 437,004 : x
  2. Step 2: Convert to fraction form
    201,202/437,004 = 437,004/x
  3. Step 3: Cross multiply
    201,202x = 437,004 × 437,004
  4. Step 4: Simplify right side
    201,202x = 190,972,496,016
  5. Step 5: Solve for x
    x = 190,972,496,016/201,202
  6. Step 6: Final answer
    x = 949,158.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.