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Finding the Third Proportional to 206,141.63 and 447,533.44

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Solution

The third proportional to 206,141.63 and 447,533.44 is: 971,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,141.63 : 447,533.44 = 447,533.44 : x
  2. Step 2: Convert to fraction form
    206,141.63/447,533.44 = 447,533.44/x
  3. Step 3: Cross multiply
    206,141.63x = 447,533.44 × 447,533.44
  4. Step 4: Simplify right side
    206,141.63x = 200,286,177,680.57
  5. Step 5: Solve for x
    x = 200,286,177,680.57/206,141.63
  6. Step 6: Final answer
    x = 971,595.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.