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Finding the Third Proportional to 202,740.75 and 445,950

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Solution

The third proportional to 202,740.75 and 445,950 is: 980,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,740.75 : 445,950 = 445,950 : x
  2. Step 2: Convert to fraction form
    202,740.75/445,950 = 445,950/x
  3. Step 3: Cross multiply
    202,740.75x = 445,950 × 445,950
  4. Step 4: Simplify right side
    202,740.75x = 198,871,402,500
  5. Step 5: Solve for x
    x = 198,871,402,500/202,740.75
  6. Step 6: Final answer
    x = 980,914.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.