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Finding the Third Proportional to 177.75 and 259.03

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Solution

The third proportional to 177.75 and 259.03 is: 377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 259.03 = 259.03 : x
  2. Step 2: Convert to fraction form
    177.75/259.03 = 259.03/x
  3. Step 3: Cross multiply
    177.75x = 259.03 × 259.03
  4. Step 4: Simplify right side
    177.75x = 67,097.19
  5. Step 5: Solve for x
    x = 67,097.19/177.75
  6. Step 6: Final answer
    x = 377.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.