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Finding the Third Proportional to 260 and 503.50

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Solution

The third proportional to 260 and 503.50 is: 975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 503.50 = 503.50 : x
  2. Step 2: Convert to fraction form
    260/503.50 = 503.50/x
  3. Step 3: Cross multiply
    260x = 503.50 × 503.50
  4. Step 4: Simplify right side
    260x = 253,512.25
  5. Step 5: Solve for x
    x = 253,512.25/260
  6. Step 6: Final answer
    x = 975.05

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.