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Finding the Third Proportional to 242.25 and 555.75

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Solution

The third proportional to 242.25 and 555.75 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 555.75 = 555.75 : x
  2. Step 2: Convert to fraction form
    242.25/555.75 = 555.75/x
  3. Step 3: Cross multiply
    242.25x = 555.75 × 555.75
  4. Step 4: Simplify right side
    242.25x = 308,858.06
  5. Step 5: Solve for x
    x = 308,858.06/242.25
  6. Step 6: Final answer
    x = 1,274.96

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.