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Finding the Third Proportional to 254,214 and 337,338

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Solution

The third proportional to 254,214 and 337,338 is: 447,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,214 : 337,338 = 337,338 : x
  2. Step 2: Convert to fraction form
    254,214/337,338 = 337,338/x
  3. Step 3: Cross multiply
    254,214x = 337,338 × 337,338
  4. Step 4: Simplify right side
    254,214x = 113,796,926,244
  5. Step 5: Solve for x
    x = 113,796,926,244/254,214
  6. Step 6: Final answer
    x = 447,642.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.