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Finding the Third Proportional to 206,143.88 and 447,538.50

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Solution

The third proportional to 206,143.88 and 447,538.50 is: 971,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,143.88 : 447,538.50 = 447,538.50 : x
  2. Step 2: Convert to fraction form
    206,143.88/447,538.50 = 447,538.50/x
  3. Step 3: Cross multiply
    206,143.88x = 447,538.50 × 447,538.50
  4. Step 4: Simplify right side
    206,143.88x = 200,290,708,982.25
  5. Step 5: Solve for x
    x = 200,290,708,982.25/206,143.88
  6. Step 6: Final answer
    x = 971,606.40

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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.