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Finding the Third Proportional to 107,674 and 235,858

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Solution

The third proportional to 107,674 and 235,858 is: 516,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,674 : 235,858 = 235,858 : x
  2. Step 2: Convert to fraction form
    107,674/235,858 = 235,858/x
  3. Step 3: Cross multiply
    107,674x = 235,858 × 235,858
  4. Step 4: Simplify right side
    107,674x = 55,628,996,164
  5. Step 5: Solve for x
    x = 55,628,996,164/107,674
  6. Step 6: Final answer
    x = 516,642.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.