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Finding the Third Proportional to 222,186 and 317,503

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Solution

The third proportional to 222,186 and 317,503 is: 453,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,186 : 317,503 = 317,503 : x
  2. Step 2: Convert to fraction form
    222,186/317,503 = 317,503/x
  3. Step 3: Cross multiply
    222,186x = 317,503 × 317,503
  4. Step 4: Simplify right side
    222,186x = 100,808,155,009
  5. Step 5: Solve for x
    x = 100,808,155,009/222,186
  6. Step 6: Final answer
    x = 453,710.65

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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.