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Finding the Third Proportional to 257.34 and 554.91

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Solution

The third proportional to 257.34 and 554.91 is: 1,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 554.91 = 554.91 : x
  2. Step 2: Convert to fraction form
    257.34/554.91 = 554.91/x
  3. Step 3: Cross multiply
    257.34x = 554.91 × 554.91
  4. Step 4: Simplify right side
    257.34x = 307,920.95
  5. Step 5: Solve for x
    x = 307,920.95/257.34
  6. Step 6: Final answer
    x = 1,196.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.