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Finding the Third Proportional to 222,163.50 and 317,471.63

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Solution

The third proportional to 222,163.50 and 317,471.63 is: 453,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,163.50 : 317,471.63 = 317,471.63 : x
  2. Step 2: Convert to fraction form
    222,163.50/317,471.63 = 317,471.63/x
  3. Step 3: Cross multiply
    222,163.50x = 317,471.63 × 317,471.63
  4. Step 4: Simplify right side
    222,163.50x = 100,788,232,680.14
  5. Step 5: Solve for x
    x = 100,788,232,680.14/222,163.50
  6. Step 6: Final answer
    x = 453,666.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.