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Finding the Third Proportional to 160.03 and 256.13

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Solution

The third proportional to 160.03 and 256.13 is: 409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.03 : 256.13 = 256.13 : x
  2. Step 2: Convert to fraction form
    160.03/256.13 = 256.13/x
  3. Step 3: Cross multiply
    160.03x = 256.13 × 256.13
  4. Step 4: Simplify right side
    160.03x = 65,600.02
  5. Step 5: Solve for x
    x = 65,600.02/160.03
  6. Step 6: Final answer
    x = 409.92

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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.