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Finding the Third Proportional to 240.63 and 521.12

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Solution

The third proportional to 240.63 and 521.12 is: 1,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.63 : 521.12 = 521.12 : x
  2. Step 2: Convert to fraction form
    240.63/521.12 = 521.12/x
  3. Step 3: Cross multiply
    240.63x = 521.12 × 521.12
  4. Step 4: Simplify right side
    240.63x = 271,567.19
  5. Step 5: Solve for x
    x = 271,567.19/240.63
  6. Step 6: Final answer
    x = 1,128.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.