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Finding the Third Proportional to 79,438.50 and 165,411

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Solution

The third proportional to 79,438.50 and 165,411 is: 344,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,438.50 : 165,411 = 165,411 : x
  2. Step 2: Convert to fraction form
    79,438.50/165,411 = 165,411/x
  3. Step 3: Cross multiply
    79,438.50x = 165,411 × 165,411
  4. Step 4: Simplify right side
    79,438.50x = 27,360,798,921
  5. Step 5: Solve for x
    x = 27,360,798,921/79,438.50
  6. Step 6: Final answer
    x = 344,427.44

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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.