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Finding the Third Proportional to 70,958 and 155,524

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Solution

The third proportional to 70,958 and 155,524 is: 340,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,958 : 155,524 = 155,524 : x
  2. Step 2: Convert to fraction form
    70,958/155,524 = 155,524/x
  3. Step 3: Cross multiply
    70,958x = 155,524 × 155,524
  4. Step 4: Simplify right side
    70,958x = 24,187,714,576
  5. Step 5: Solve for x
    x = 24,187,714,576/70,958
  6. Step 6: Final answer
    x = 340,873.68

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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.