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Finding the Third Proportional to 178.88 and 284.81

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Solution

The third proportional to 178.88 and 284.81 is: 453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 284.81 = 284.81 : x
  2. Step 2: Convert to fraction form
    178.88/284.81 = 284.81/x
  3. Step 3: Cross multiply
    178.88x = 284.81 × 284.81
  4. Step 4: Simplify right side
    178.88x = 81,118.16
  5. Step 5: Solve for x
    x = 81,118.16/178.88
  6. Step 6: Final answer
    x = 453.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.