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Finding the Third Proportional to 165,192.75 and 238,491

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Solution

The third proportional to 165,192.75 and 238,491 is: 344,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,192.75 : 238,491 = 238,491 : x
  2. Step 2: Convert to fraction form
    165,192.75/238,491 = 238,491/x
  3. Step 3: Cross multiply
    165,192.75x = 238,491 × 238,491
  4. Step 4: Simplify right side
    165,192.75x = 56,877,957,081
  5. Step 5: Solve for x
    x = 56,877,957,081/165,192.75
  6. Step 6: Final answer
    x = 344,312.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.