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Finding the Third Proportional to 183,033.75 and 335,692.50

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Solution

The third proportional to 183,033.75 and 335,692.50 is: 615,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,033.75 : 335,692.50 = 335,692.50 : x
  2. Step 2: Convert to fraction form
    183,033.75/335,692.50 = 335,692.50/x
  3. Step 3: Cross multiply
    183,033.75x = 335,692.50 × 335,692.50
  4. Step 4: Simplify right side
    183,033.75x = 112,689,454,556.25
  5. Step 5: Solve for x
    x = 112,689,454,556.25/183,033.75
  6. Step 6: Final answer
    x = 615,675.82

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.