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Finding the Third Proportional to 79,398.25 and 170,308.63

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Solution

The third proportional to 79,398.25 and 170,308.63 is: 365,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,398.25 : 170,308.63 = 170,308.63 : x
  2. Step 2: Convert to fraction form
    79,398.25/170,308.63 = 170,308.63/x
  3. Step 3: Cross multiply
    79,398.25x = 170,308.63 × 170,308.63
  4. Step 4: Simplify right side
    79,398.25x = 29,005,027,749.39
  5. Step 5: Solve for x
    x = 29,005,027,749.39/79,398.25
  6. Step 6: Final answer
    x = 365,310.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.