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Finding the Third Proportional to 242.25 and 551.63

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Solution

The third proportional to 242.25 and 551.63 is: 1,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 551.63 = 551.63 : x
  2. Step 2: Convert to fraction form
    242.25/551.63 = 551.63/x
  3. Step 3: Cross multiply
    242.25x = 551.63 × 551.63
  4. Step 4: Simplify right side
    242.25x = 304,290.14
  5. Step 5: Solve for x
    x = 304,290.14/242.25
  6. Step 6: Final answer
    x = 1,256.10

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.