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Finding the Third Proportional to 180.28 and 435.94

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Solution

The third proportional to 180.28 and 435.94 is: 1,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 435.94 = 435.94 : x
  2. Step 2: Convert to fraction form
    180.28/435.94 = 435.94/x
  3. Step 3: Cross multiply
    180.28x = 435.94 × 435.94
  4. Step 4: Simplify right side
    180.28x = 190,041.50
  5. Step 5: Solve for x
    x = 190,041.50/180.28
  6. Step 6: Final answer
    x = 1,054.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.