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Finding the Third Proportional to 265.78 and 563.20

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Solution

The third proportional to 265.78 and 563.20 is: 1,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 563.20 = 563.20 : x
  2. Step 2: Convert to fraction form
    265.78/563.20 = 563.20/x
  3. Step 3: Cross multiply
    265.78x = 563.20 × 563.20
  4. Step 4: Simplify right side
    265.78x = 317,197.76
  5. Step 5: Solve for x
    x = 317,197.76/265.78
  6. Step 6: Final answer
    x = 1,193.45

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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.