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Finding the Third Proportional to 209,157.19 and 430,697.25

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Solution

The third proportional to 209,157.19 and 430,697.25 is: 886,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,157.19 : 430,697.25 = 430,697.25 : x
  2. Step 2: Convert to fraction form
    209,157.19/430,697.25 = 430,697.25/x
  3. Step 3: Cross multiply
    209,157.19x = 430,697.25 × 430,697.25
  4. Step 4: Simplify right side
    209,157.19x = 185,500,121,157.56
  5. Step 5: Solve for x
    x = 185,500,121,157.56/209,157.19
  6. Step 6: Final answer
    x = 886,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.