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Finding the Third Proportional to 79,435 and 174,614

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Solution

The third proportional to 79,435 and 174,614 is: 383,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,435 : 174,614 = 174,614 : x
  2. Step 2: Convert to fraction form
    79,435/174,614 = 174,614/x
  3. Step 3: Cross multiply
    79,435x = 174,614 × 174,614
  4. Step 4: Simplify right side
    79,435x = 30,490,048,996
  5. Step 5: Solve for x
    x = 30,490,048,996/79,435
  6. Step 6: Final answer
    x = 383,836.46

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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.