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Finding the Third Proportional to 162.84 and 237.09

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Solution

The third proportional to 162.84 and 237.09 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 237.09 = 237.09 : x
  2. Step 2: Convert to fraction form
    162.84/237.09 = 237.09/x
  3. Step 3: Cross multiply
    162.84x = 237.09 × 237.09
  4. Step 4: Simplify right side
    162.84x = 56,213.45
  5. Step 5: Solve for x
    x = 56,213.45/162.84
  6. Step 6: Final answer
    x = 345.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.