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Finding the Third Proportional to 254.88 and 373.94

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Solution

The third proportional to 254.88 and 373.94 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 373.94 = 373.94 : x
  2. Step 2: Convert to fraction form
    254.88/373.94 = 373.94/x
  3. Step 3: Cross multiply
    254.88x = 373.94 × 373.94
  4. Step 4: Simplify right side
    254.88x = 139,829.25
  5. Step 5: Solve for x
    x = 139,829.25/254.88
  6. Step 6: Final answer
    x = 548.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.