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Finding the Third Proportional to 157.88 and 256.13

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Solution

The third proportional to 157.88 and 256.13 is: 415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 256.13 = 256.13 : x
  2. Step 2: Convert to fraction form
    157.88/256.13 = 256.13/x
  3. Step 3: Cross multiply
    157.88x = 256.13 × 256.13
  4. Step 4: Simplify right side
    157.88x = 65,600.02
  5. Step 5: Solve for x
    x = 65,600.02/157.88
  6. Step 6: Final answer
    x = 415.52

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.