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Finding the Third Proportional to 206,423.44 and 341,636.06

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Solution

The third proportional to 206,423.44 and 341,636.06 is: 565,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.44 : 341,636.06 = 341,636.06 : x
  2. Step 2: Convert to fraction form
    206,423.44/341,636.06 = 341,636.06/x
  3. Step 3: Cross multiply
    206,423.44x = 341,636.06 × 341,636.06
  4. Step 4: Simplify right side
    206,423.44x = 116,715,199,200.50
  5. Step 5: Solve for x
    x = 116,715,199,200.50/206,423.44
  6. Step 6: Final answer
    x = 565,416.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.