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Finding the Third Proportional to 253.09 and 552.04

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Solution

The third proportional to 253.09 and 552.04 is: 1,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 552.04 = 552.04 : x
  2. Step 2: Convert to fraction form
    253.09/552.04 = 552.04/x
  3. Step 3: Cross multiply
    253.09x = 552.04 × 552.04
  4. Step 4: Simplify right side
    253.09x = 304,753.53
  5. Step 5: Solve for x
    x = 304,753.53/253.09
  6. Step 6: Final answer
    x = 1,204.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.