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Finding the Third Proportional to 222,182 and 317,497

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Solution

The third proportional to 222,182 and 317,497 is: 453,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,182 : 317,497 = 317,497 : x
  2. Step 2: Convert to fraction form
    222,182/317,497 = 317,497/x
  3. Step 3: Cross multiply
    222,182x = 317,497 × 317,497
  4. Step 4: Simplify right side
    222,182x = 100,804,345,009
  5. Step 5: Solve for x
    x = 100,804,345,009/222,182
  6. Step 6: Final answer
    x = 453,701.67

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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.