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Finding the Third Proportional to 177.75 and 260.16

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Solution

The third proportional to 177.75 and 260.16 is: 380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 260.16 = 260.16 : x
  2. Step 2: Convert to fraction form
    177.75/260.16 = 260.16/x
  3. Step 3: Cross multiply
    177.75x = 260.16 × 260.16
  4. Step 4: Simplify right side
    177.75x = 67,681.27
  5. Step 5: Solve for x
    x = 67,681.27/177.75
  6. Step 6: Final answer
    x = 380.77

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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.