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Finding the Third Proportional to 253.75 and 368.81

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Solution

The third proportional to 253.75 and 368.81 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 368.81 = 368.81 : x
  2. Step 2: Convert to fraction form
    253.75/368.81 = 368.81/x
  3. Step 3: Cross multiply
    253.75x = 368.81 × 368.81
  4. Step 4: Simplify right side
    253.75x = 136,022.66
  5. Step 5: Solve for x
    x = 136,022.66/253.75
  6. Step 6: Final answer
    x = 536.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.