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Finding the Third Proportional to 101,034 and 208,629

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Solution

The third proportional to 101,034 and 208,629 is: 430,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,034 : 208,629 = 208,629 : x
  2. Step 2: Convert to fraction form
    101,034/208,629 = 208,629/x
  3. Step 3: Cross multiply
    101,034x = 208,629 × 208,629
  4. Step 4: Simplify right side
    101,034x = 43,526,059,641
  5. Step 5: Solve for x
    x = 43,526,059,641/101,034
  6. Step 6: Final answer
    x = 430,806.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.