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Finding the Third Proportional to 128.95 and 265.37

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Solution

The third proportional to 128.95 and 265.37 is: 546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.95 : 265.37 = 265.37 : x
  2. Step 2: Convert to fraction form
    128.95/265.37 = 265.37/x
  3. Step 3: Cross multiply
    128.95x = 265.37 × 265.37
  4. Step 4: Simplify right side
    128.95x = 70,419.10
  5. Step 5: Solve for x
    x = 70,419.10/128.95
  6. Step 6: Final answer
    x = 546.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.