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Finding the Third Proportional to 160,867.50 and 317,692.50

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Solution

The third proportional to 160,867.50 and 317,692.50 is: 627,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,867.50 : 317,692.50 = 317,692.50 : x
  2. Step 2: Convert to fraction form
    160,867.50/317,692.50 = 317,692.50/x
  3. Step 3: Cross multiply
    160,867.50x = 317,692.50 × 317,692.50
  4. Step 4: Simplify right side
    160,867.50x = 100,928,524,556.25
  5. Step 5: Solve for x
    x = 100,928,524,556.25/160,867.50
  6. Step 6: Final answer
    x = 627,401.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.