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Finding the Third Proportional to 107,626 and 234,629

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Solution

The third proportional to 107,626 and 234,629 is: 511,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,626 : 234,629 = 234,629 : x
  2. Step 2: Convert to fraction form
    107,626/234,629 = 234,629/x
  3. Step 3: Cross multiply
    107,626x = 234,629 × 234,629
  4. Step 4: Simplify right side
    107,626x = 55,050,767,641
  5. Step 5: Solve for x
    x = 55,050,767,641/107,626
  6. Step 6: Final answer
    x = 511,500.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.