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Finding the Third Proportional to 242.06 and 533.06

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Solution

The third proportional to 242.06 and 533.06 is: 1,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 533.06 = 533.06 : x
  2. Step 2: Convert to fraction form
    242.06/533.06 = 533.06/x
  3. Step 3: Cross multiply
    242.06x = 533.06 × 533.06
  4. Step 4: Simplify right side
    242.06x = 284,155.63
  5. Step 5: Solve for x
    x = 284,155.63/242.06
  6. Step 6: Final answer
    x = 1,173.89

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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.