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Finding the Third Proportional to 201,020 and 273,003

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Solution

The third proportional to 201,020 and 273,003 is: 370,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,020 : 273,003 = 273,003 : x
  2. Step 2: Convert to fraction form
    201,020/273,003 = 273,003/x
  3. Step 3: Cross multiply
    201,020x = 273,003 × 273,003
  4. Step 4: Simplify right side
    201,020x = 74,530,638,009
  5. Step 5: Solve for x
    x = 74,530,638,009/201,020
  6. Step 6: Final answer
    x = 370,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.