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Finding the Third Proportional to 164.75 and 305.88

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Solution

The third proportional to 164.75 and 305.88 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.75 : 305.88 = 305.88 : x
  2. Step 2: Convert to fraction form
    164.75/305.88 = 305.88/x
  3. Step 3: Cross multiply
    164.75x = 305.88 × 305.88
  4. Step 4: Simplify right side
    164.75x = 93,559.52
  5. Step 5: Solve for x
    x = 93,559.52/164.75
  6. Step 6: Final answer
    x = 567.89

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.