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Finding the Third Proportional to 550.55 and 805.15

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Solution

The third proportional to 550.55 and 805.15 is: 1,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.55 : 805.15 = 805.15 : x
  2. Step 2: Convert to fraction form
    550.55/805.15 = 805.15/x
  3. Step 3: Cross multiply
    550.55x = 805.15 × 805.15
  4. Step 4: Simplify right side
    550.55x = 648,264.01
  5. Step 5: Solve for x
    x = 648,264.01/550.55
  6. Step 6: Final answer
    x = 1,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.