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Finding the Third Proportional to 205.03 and 510.05

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Solution

The third proportional to 205.03 and 510.05 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 510.05 = 510.05 : x
  2. Step 2: Convert to fraction form
    205.03/510.05 = 510.05/x
  3. Step 3: Cross multiply
    205.03x = 510.05 × 510.05
  4. Step 4: Simplify right side
    205.03x = 260,147.81
  5. Step 5: Solve for x
    x = 260,147.81/205.03
  6. Step 6: Final answer
    x = 1,268.82

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.