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Finding the Third Proportional to 162.94 and 253.88

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Solution

The third proportional to 162.94 and 253.88 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 253.88 = 253.88 : x
  2. Step 2: Convert to fraction form
    162.94/253.88 = 253.88/x
  3. Step 3: Cross multiply
    162.94x = 253.88 × 253.88
  4. Step 4: Simplify right side
    162.94x = 64,452.52
  5. Step 5: Solve for x
    x = 64,452.52/162.94
  6. Step 6: Final answer
    x = 395.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.