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Finding the Third Proportional to 86,782 and 180,475

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Solution

The third proportional to 86,782 and 180,475 is: 375,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782 : 180,475 = 180,475 : x
  2. Step 2: Convert to fraction form
    86,782/180,475 = 180,475/x
  3. Step 3: Cross multiply
    86,782x = 180,475 × 180,475
  4. Step 4: Simplify right side
    86,782x = 32,571,225,625
  5. Step 5: Solve for x
    x = 32,571,225,625/86,782
  6. Step 6: Final answer
    x = 375,322.37

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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.