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Finding the Third Proportional to 157.13 and 350.63

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Solution

The third proportional to 157.13 and 350.63 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 350.63 = 350.63 : x
  2. Step 2: Convert to fraction form
    157.13/350.63 = 350.63/x
  3. Step 3: Cross multiply
    157.13x = 350.63 × 350.63
  4. Step 4: Simplify right side
    157.13x = 122,937.89
  5. Step 5: Solve for x
    x = 122,937.89/157.13
  6. Step 6: Final answer
    x = 782.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.