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Finding the Third Proportional to 175,331.25 and 383,467.50

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Solution

The third proportional to 175,331.25 and 383,467.50 is: 838,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,331.25 : 383,467.50 = 383,467.50 : x
  2. Step 2: Convert to fraction form
    175,331.25/383,467.50 = 383,467.50/x
  3. Step 3: Cross multiply
    175,331.25x = 383,467.50 × 383,467.50
  4. Step 4: Simplify right side
    175,331.25x = 147,047,323,556.25
  5. Step 5: Solve for x
    x = 147,047,323,556.25/175,331.25
  6. Step 6: Final answer
    x = 838,682.91

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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.