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Finding the Third Proportional to 79,518 and 174,708

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Solution

The third proportional to 79,518 and 174,708 is: 383,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,518 : 174,708 = 174,708 : x
  2. Step 2: Convert to fraction form
    79,518/174,708 = 174,708/x
  3. Step 3: Cross multiply
    79,518x = 174,708 × 174,708
  4. Step 4: Simplify right side
    79,518x = 30,522,885,264
  5. Step 5: Solve for x
    x = 30,522,885,264/79,518
  6. Step 6: Final answer
    x = 383,848.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.