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Finding the Third Proportional to 222,270 and 317,618.50

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Solution

The third proportional to 222,270 and 317,618.50 is: 453,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,270 : 317,618.50 = 317,618.50 : x
  2. Step 2: Convert to fraction form
    222,270/317,618.50 = 317,618.50/x
  3. Step 3: Cross multiply
    222,270x = 317,618.50 × 317,618.50
  4. Step 4: Simplify right side
    222,270x = 100,881,511,542.25
  5. Step 5: Solve for x
    x = 100,881,511,542.25/222,270
  6. Step 6: Final answer
    x = 453,869.22

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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.