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Finding the Third Proportional to 158.34 and 332.67

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Solution

The third proportional to 158.34 and 332.67 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.34 : 332.67 = 332.67 : x
  2. Step 2: Convert to fraction form
    158.34/332.67 = 332.67/x
  3. Step 3: Cross multiply
    158.34x = 332.67 × 332.67
  4. Step 4: Simplify right side
    158.34x = 110,670.58
  5. Step 5: Solve for x
    x = 110,670.58/158.34
  6. Step 6: Final answer
    x = 698.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.