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Finding the Third Proportional to 254,270 and 344,937

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Solution

The third proportional to 254,270 and 344,937 is: 467,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,270 : 344,937 = 344,937 : x
  2. Step 2: Convert to fraction form
    254,270/344,937 = 344,937/x
  3. Step 3: Cross multiply
    254,270x = 344,937 × 344,937
  4. Step 4: Simplify right side
    254,270x = 118,981,533,969
  5. Step 5: Solve for x
    x = 118,981,533,969/254,270
  6. Step 6: Final answer
    x = 467,933.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.