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Finding the Third Proportional to 242.78 and 359.84

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Solution

The third proportional to 242.78 and 359.84 is: 533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 359.84 = 359.84 : x
  2. Step 2: Convert to fraction form
    242.78/359.84 = 359.84/x
  3. Step 3: Cross multiply
    242.78x = 359.84 × 359.84
  4. Step 4: Simplify right side
    242.78x = 129,487.52
  5. Step 5: Solve for x
    x = 129,487.52/242.78
  6. Step 6: Final answer
    x = 533.35

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.