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Finding the Third Proportional to 263,002.50 and 374,800.50

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Solution

The third proportional to 263,002.50 and 374,800.50 is: 534,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,002.50 : 374,800.50 = 374,800.50 : x
  2. Step 2: Convert to fraction form
    263,002.50/374,800.50 = 374,800.50/x
  3. Step 3: Cross multiply
    263,002.50x = 374,800.50 × 374,800.50
  4. Step 4: Simplify right side
    263,002.50x = 140,475,414,800.25
  5. Step 5: Solve for x
    x = 140,475,414,800.25/263,002.50
  6. Step 6: Final answer
    x = 534,121.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.