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Finding the Third Proportional to 152.88 and 244.94

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Solution

The third proportional to 152.88 and 244.94 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 244.94 = 244.94 : x
  2. Step 2: Convert to fraction form
    152.88/244.94 = 244.94/x
  3. Step 3: Cross multiply
    152.88x = 244.94 × 244.94
  4. Step 4: Simplify right side
    152.88x = 59,994.38
  5. Step 5: Solve for x
    x = 59,994.38/152.88
  6. Step 6: Final answer
    x = 392.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.