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Finding the Third Proportional to 222,166.50 and 317,475.75

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Solution

The third proportional to 222,166.50 and 317,475.75 is: 453,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,166.50 : 317,475.75 = 317,475.75 : x
  2. Step 2: Convert to fraction form
    222,166.50/317,475.75 = 317,475.75/x
  3. Step 3: Cross multiply
    222,166.50x = 317,475.75 × 317,475.75
  4. Step 4: Simplify right side
    222,166.50x = 100,790,851,838.06
  5. Step 5: Solve for x
    x = 100,790,851,838.06/222,166.50
  6. Step 6: Final answer
    x = 453,672.59

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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.