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Finding the Third Proportional to 175,014 and 361,692

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Solution

The third proportional to 175,014 and 361,692 is: 747,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 361,692 = 361,692 : x
  2. Step 2: Convert to fraction form
    175,014/361,692 = 361,692/x
  3. Step 3: Cross multiply
    175,014x = 361,692 × 361,692
  4. Step 4: Simplify right side
    175,014x = 130,821,102,864
  5. Step 5: Solve for x
    x = 130,821,102,864/175,014
  6. Step 6: Final answer
    x = 747,489.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.