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Finding the Third Proportional to 257 and 547.50

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Solution

The third proportional to 257 and 547.50 is: 1,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 547.50 = 547.50 : x
  2. Step 2: Convert to fraction form
    257/547.50 = 547.50/x
  3. Step 3: Cross multiply
    257x = 547.50 × 547.50
  4. Step 4: Simplify right side
    257x = 299,756.25
  5. Step 5: Solve for x
    x = 299,756.25/257
  6. Step 6: Final answer
    x = 1,166.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.