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Finding the Third Proportional to 254,360.25 and 350,398.41

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Solution

The third proportional to 254,360.25 and 350,398.41 is: 482,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,360.25 : 350,398.41 = 350,398.41 : x
  2. Step 2: Convert to fraction form
    254,360.25/350,398.41 = 350,398.41/x
  3. Step 3: Cross multiply
    254,360.25x = 350,398.41 × 350,398.41
  4. Step 4: Simplify right side
    254,360.25x = 122,779,043,102.54
  5. Step 5: Solve for x
    x = 122,779,043,102.54/254,360.25
  6. Step 6: Final answer
    x = 482,697.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.