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Finding the Third Proportional to 222,136 and 317,433

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Solution

The third proportional to 222,136 and 317,433 is: 453,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,136 : 317,433 = 317,433 : x
  2. Step 2: Convert to fraction form
    222,136/317,433 = 317,433/x
  3. Step 3: Cross multiply
    222,136x = 317,433 × 317,433
  4. Step 4: Simplify right side
    222,136x = 100,763,709,489
  5. Step 5: Solve for x
    x = 100,763,709,489/222,136
  6. Step 6: Final answer
    x = 453,612.69

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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.