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Finding the Third Proportional to 129,013.50 and 303,556.50

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Solution

The third proportional to 129,013.50 and 303,556.50 is: 714,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013.50 : 303,556.50 = 303,556.50 : x
  2. Step 2: Convert to fraction form
    129,013.50/303,556.50 = 303,556.50/x
  3. Step 3: Cross multiply
    129,013.50x = 303,556.50 × 303,556.50
  4. Step 4: Simplify right side
    129,013.50x = 92,146,548,692.25
  5. Step 5: Solve for x
    x = 92,146,548,692.25/129,013.50
  6. Step 6: Final answer
    x = 714,239.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.