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Finding the Third Proportional to 79,436.50 and 165,407

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Solution

The third proportional to 79,436.50 and 165,407 is: 344,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,436.50 : 165,407 = 165,407 : x
  2. Step 2: Convert to fraction form
    79,436.50/165,407 = 165,407/x
  3. Step 3: Cross multiply
    79,436.50x = 165,407 × 165,407
  4. Step 4: Simplify right side
    79,436.50x = 27,359,475,649
  5. Step 5: Solve for x
    x = 27,359,475,649/79,436.50
  6. Step 6: Final answer
    x = 344,419.45

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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.