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Finding the Third Proportional to 223,026.75 and 467,862.75

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Solution

The third proportional to 223,026.75 and 467,862.75 is: 981,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,026.75 : 467,862.75 = 467,862.75 : x
  2. Step 2: Convert to fraction form
    223,026.75/467,862.75 = 467,862.75/x
  3. Step 3: Cross multiply
    223,026.75x = 467,862.75 × 467,862.75
  4. Step 4: Simplify right side
    223,026.75x = 218,895,552,837.56
  5. Step 5: Solve for x
    x = 218,895,552,837.56/223,026.75
  6. Step 6: Final answer
    x = 981,476.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.