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Finding the Third Proportional to 265 and 570.50

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Solution

The third proportional to 265 and 570.50 is: 1,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 570.50 = 570.50 : x
  2. Step 2: Convert to fraction form
    265/570.50 = 570.50/x
  3. Step 3: Cross multiply
    265x = 570.50 × 570.50
  4. Step 4: Simplify right side
    265x = 325,470.25
  5. Step 5: Solve for x
    x = 325,470.25/265
  6. Step 6: Final answer
    x = 1,228.19

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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.