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Finding the Third Proportional to 162.56 and 357.94

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Solution

The third proportional to 162.56 and 357.94 is: 788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 357.94 = 357.94 : x
  2. Step 2: Convert to fraction form
    162.56/357.94 = 357.94/x
  3. Step 3: Cross multiply
    162.56x = 357.94 × 357.94
  4. Step 4: Simplify right side
    162.56x = 128,119.25
  5. Step 5: Solve for x
    x = 128,119.25/162.56
  6. Step 6: Final answer
    x = 788.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.