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Finding the Third Proportional to 204,322.50 and 448,942.50

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Solution

The third proportional to 204,322.50 and 448,942.50 is: 986,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,322.50 : 448,942.50 = 448,942.50 : x
  2. Step 2: Convert to fraction form
    204,322.50/448,942.50 = 448,942.50/x
  3. Step 3: Cross multiply
    204,322.50x = 448,942.50 × 448,942.50
  4. Step 4: Simplify right side
    204,322.50x = 201,549,368,306.25
  5. Step 5: Solve for x
    x = 201,549,368,306.25/204,322.50
  6. Step 6: Final answer
    x = 986,427.67

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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.