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Finding the Third Proportional to 145.13 and 257.63

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Solution

The third proportional to 145.13 and 257.63 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 257.63 = 257.63 : x
  2. Step 2: Convert to fraction form
    145.13/257.63 = 257.63/x
  3. Step 3: Cross multiply
    145.13x = 257.63 × 257.63
  4. Step 4: Simplify right side
    145.13x = 66,370.64
  5. Step 5: Solve for x
    x = 66,370.64/145.13
  6. Step 6: Final answer
    x = 457.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.