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Finding the Third Proportional to 158.63 and 346.36

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Solution

The third proportional to 158.63 and 346.36 is: 756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.63 : 346.36 = 346.36 : x
  2. Step 2: Convert to fraction form
    158.63/346.36 = 346.36/x
  3. Step 3: Cross multiply
    158.63x = 346.36 × 346.36
  4. Step 4: Simplify right side
    158.63x = 119,964.82
  5. Step 5: Solve for x
    x = 119,964.82/158.63
  6. Step 6: Final answer
    x = 756.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.