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Finding the Third Proportional to 252.06 and 555.06

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Solution

The third proportional to 252.06 and 555.06 is: 1,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 555.06 = 555.06 : x
  2. Step 2: Convert to fraction form
    252.06/555.06 = 555.06/x
  3. Step 3: Cross multiply
    252.06x = 555.06 × 555.06
  4. Step 4: Simplify right side
    252.06x = 308,094.38
  5. Step 5: Solve for x
    x = 308,094.38/252.06
  6. Step 6: Final answer
    x = 1,222.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.