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Finding the Third Proportional to 209,183 and 430,750

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Solution

The third proportional to 209,183 and 430,750 is: 887,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,183 : 430,750 = 430,750 : x
  2. Step 2: Convert to fraction form
    209,183/430,750 = 430,750/x
  3. Step 3: Cross multiply
    209,183x = 430,750 × 430,750
  4. Step 4: Simplify right side
    209,183x = 185,545,562,500
  5. Step 5: Solve for x
    x = 185,545,562,500/209,183
  6. Step 6: Final answer
    x = 887,001.15

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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.