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Finding the Third Proportional to 174,511 and 379,923.50

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Solution

The third proportional to 174,511 and 379,923.50 is: 827,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,511 : 379,923.50 = 379,923.50 : x
  2. Step 2: Convert to fraction form
    174,511/379,923.50 = 379,923.50/x
  3. Step 3: Cross multiply
    174,511x = 379,923.50 × 379,923.50
  4. Step 4: Simplify right side
    174,511x = 144,341,865,852.25
  5. Step 5: Solve for x
    x = 144,341,865,852.25/174,511
  6. Step 6: Final answer
    x = 827,121.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.