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Finding the Third Proportional to 210,213 and 317,493

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Solution

The third proportional to 210,213 and 317,493 is: 479,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213 : 317,493 = 317,493 : x
  2. Step 2: Convert to fraction form
    210,213/317,493 = 317,493/x
  3. Step 3: Cross multiply
    210,213x = 317,493 × 317,493
  4. Step 4: Simplify right side
    210,213x = 100,801,805,049
  5. Step 5: Solve for x
    x = 100,801,805,049/210,213
  6. Step 6: Final answer
    x = 479,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.