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Finding the Third Proportional to 160.59 and 238.63

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Solution

The third proportional to 160.59 and 238.63 is: 354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 238.63 = 238.63 : x
  2. Step 2: Convert to fraction form
    160.59/238.63 = 238.63/x
  3. Step 3: Cross multiply
    160.59x = 238.63 × 238.63
  4. Step 4: Simplify right side
    160.59x = 56,941.89
  5. Step 5: Solve for x
    x = 56,941.89/160.59
  6. Step 6: Final answer
    x = 354.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.