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Finding the Third Proportional to 159.88 and 370.63

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Solution

The third proportional to 159.88 and 370.63 is: 859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.88 : 370.63 = 370.63 : x
  2. Step 2: Convert to fraction form
    159.88/370.63 = 370.63/x
  3. Step 3: Cross multiply
    159.88x = 370.63 × 370.63
  4. Step 4: Simplify right side
    159.88x = 137,362.89
  5. Step 5: Solve for x
    x = 137,362.89/159.88
  6. Step 6: Final answer
    x = 859.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.