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Finding the Third Proportional to 209,525.50 and 452,251

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Solution

The third proportional to 209,525.50 and 452,251 is: 976,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,525.50 : 452,251 = 452,251 : x
  2. Step 2: Convert to fraction form
    209,525.50/452,251 = 452,251/x
  3. Step 3: Cross multiply
    209,525.50x = 452,251 × 452,251
  4. Step 4: Simplify right side
    209,525.50x = 204,530,967,001
  5. Step 5: Solve for x
    x = 204,530,967,001/209,525.50
  6. Step 6: Final answer
    x = 976,162.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.