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Finding the Third Proportional to 264.75 and 557.06

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Solution

The third proportional to 264.75 and 557.06 is: 1,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 557.06 = 557.06 : x
  2. Step 2: Convert to fraction form
    264.75/557.06 = 557.06/x
  3. Step 3: Cross multiply
    264.75x = 557.06 × 557.06
  4. Step 4: Simplify right side
    264.75x = 310,318.63
  5. Step 5: Solve for x
    x = 310,318.63/264.75
  6. Step 6: Final answer
    x = 1,172.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.