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Finding the Third Proportional to 263.02 and 558.05

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Solution

The third proportional to 263.02 and 558.05 is: 1,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.02 : 558.05 = 558.05 : x
  2. Step 2: Convert to fraction form
    263.02/558.05 = 558.05/x
  3. Step 3: Cross multiply
    263.02x = 558.05 × 558.05
  4. Step 4: Simplify right side
    263.02x = 311,416.31
  5. Step 5: Solve for x
    x = 311,416.31/263.02
  6. Step 6: Final answer
    x = 1,184.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.