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Finding the Third Proportional to 152.88 and 235.94

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Solution

The third proportional to 152.88 and 235.94 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 235.94 = 235.94 : x
  2. Step 2: Convert to fraction form
    152.88/235.94 = 235.94/x
  3. Step 3: Cross multiply
    152.88x = 235.94 × 235.94
  4. Step 4: Simplify right side
    152.88x = 55,666.50
  5. Step 5: Solve for x
    x = 55,666.50/152.88
  6. Step 6: Final answer
    x = 364.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.