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Finding the Third Proportional to 86,912 and 180,352

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Solution

The third proportional to 86,912 and 180,352 is: 374,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,912 : 180,352 = 180,352 : x
  2. Step 2: Convert to fraction form
    86,912/180,352 = 180,352/x
  3. Step 3: Cross multiply
    86,912x = 180,352 × 180,352
  4. Step 4: Simplify right side
    86,912x = 32,526,843,904
  5. Step 5: Solve for x
    x = 32,526,843,904/86,912
  6. Step 6: Final answer
    x = 374,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.