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Finding the Third Proportional to 202,525.50 and 443,194.50

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Solution

The third proportional to 202,525.50 and 443,194.50 is: 969,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,525.50 : 443,194.50 = 443,194.50 : x
  2. Step 2: Convert to fraction form
    202,525.50/443,194.50 = 443,194.50/x
  3. Step 3: Cross multiply
    202,525.50x = 443,194.50 × 443,194.50
  4. Step 4: Simplify right side
    202,525.50x = 196,421,364,830.25
  5. Step 5: Solve for x
    x = 196,421,364,830.25/202,525.50
  6. Step 6: Final answer
    x = 969,859.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.