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Finding the Third Proportional to 206,689.50 and 292,546.69

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Solution

The third proportional to 206,689.50 and 292,546.69 is: 414,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.50 : 292,546.69 = 292,546.69 : x
  2. Step 2: Convert to fraction form
    206,689.50/292,546.69 = 292,546.69/x
  3. Step 3: Cross multiply
    206,689.50x = 292,546.69 × 292,546.69
  4. Step 4: Simplify right side
    206,689.50x = 85,583,564,367.22
  5. Step 5: Solve for x
    x = 85,583,564,367.22/206,689.50
  6. Step 6: Final answer
    x = 414,068.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.