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Finding the Third Proportional to 261.75 and 634.13

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Solution

The third proportional to 261.75 and 634.13 is: 1,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.75 : 634.13 = 634.13 : x
  2. Step 2: Convert to fraction form
    261.75/634.13 = 634.13/x
  3. Step 3: Cross multiply
    261.75x = 634.13 × 634.13
  4. Step 4: Simplify right side
    261.75x = 402,114.52
  5. Step 5: Solve for x
    x = 402,114.52/261.75
  6. Step 6: Final answer
    x = 1,536.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.