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Finding the Third Proportional to 244.75 and 526.25

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Solution

The third proportional to 244.75 and 526.25 is: 1,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.75 : 526.25 = 526.25 : x
  2. Step 2: Convert to fraction form
    244.75/526.25 = 526.25/x
  3. Step 3: Cross multiply
    244.75x = 526.25 × 526.25
  4. Step 4: Simplify right side
    244.75x = 276,939.06
  5. Step 5: Solve for x
    x = 276,939.06/244.75
  6. Step 6: Final answer
    x = 1,131.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.