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Finding the Third Proportional to 242.23 and 529.52

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Solution

The third proportional to 242.23 and 529.52 is: 1,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.23 : 529.52 = 529.52 : x
  2. Step 2: Convert to fraction form
    242.23/529.52 = 529.52/x
  3. Step 3: Cross multiply
    242.23x = 529.52 × 529.52
  4. Step 4: Simplify right side
    242.23x = 280,395.07
  5. Step 5: Solve for x
    x = 280,395.07/242.23
  6. Step 6: Final answer
    x = 1,157.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.