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Finding the Third Proportional to 79,454 and 165,440

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Solution

The third proportional to 79,454 and 165,440 is: 344,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,454 : 165,440 = 165,440 : x
  2. Step 2: Convert to fraction form
    79,454/165,440 = 165,440/x
  3. Step 3: Cross multiply
    79,454x = 165,440 × 165,440
  4. Step 4: Simplify right side
    79,454x = 27,370,393,600
  5. Step 5: Solve for x
    x = 27,370,393,600/79,454
  6. Step 6: Final answer
    x = 344,481.00

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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.