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Finding the Third Proportional to 202,582.50 and 294,990

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Solution

The third proportional to 202,582.50 and 294,990 is: 429,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,582.50 : 294,990 = 294,990 : x
  2. Step 2: Convert to fraction form
    202,582.50/294,990 = 294,990/x
  3. Step 3: Cross multiply
    202,582.50x = 294,990 × 294,990
  4. Step 4: Simplify right side
    202,582.50x = 87,019,100,100
  5. Step 5: Solve for x
    x = 87,019,100,100/202,582.50
  6. Step 6: Final answer
    x = 429,548.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.