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Finding the Third Proportional to 182.06 and 288.28

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Solution

The third proportional to 182.06 and 288.28 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 288.28 = 288.28 : x
  2. Step 2: Convert to fraction form
    182.06/288.28 = 288.28/x
  3. Step 3: Cross multiply
    182.06x = 288.28 × 288.28
  4. Step 4: Simplify right side
    182.06x = 83,106.08
  5. Step 5: Solve for x
    x = 83,106.08/182.06
  6. Step 6: Final answer
    x = 456.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.