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Finding the Third Proportional to 145.94 and 257.38

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Solution

The third proportional to 145.94 and 257.38 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 257.38 = 257.38 : x
  2. Step 2: Convert to fraction form
    145.94/257.38 = 257.38/x
  3. Step 3: Cross multiply
    145.94x = 257.38 × 257.38
  4. Step 4: Simplify right side
    145.94x = 66,241.89
  5. Step 5: Solve for x
    x = 66,241.89/145.94
  6. Step 6: Final answer
    x = 453.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.