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Finding the Third Proportional to 254,298 and 372,321.75

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Solution

The third proportional to 254,298 and 372,321.75 is: 545,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,298 : 372,321.75 = 372,321.75 : x
  2. Step 2: Convert to fraction form
    254,298/372,321.75 = 372,321.75/x
  3. Step 3: Cross multiply
    254,298x = 372,321.75 × 372,321.75
  4. Step 4: Simplify right side
    254,298x = 138,623,485,523.06
  5. Step 5: Solve for x
    x = 138,623,485,523.06/254,298
  6. Step 6: Final answer
    x = 545,122.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.