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Finding the Third Proportional to 165,096 and 355,464

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Solution

The third proportional to 165,096 and 355,464 is: 765,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,096 : 355,464 = 355,464 : x
  2. Step 2: Convert to fraction form
    165,096/355,464 = 355,464/x
  3. Step 3: Cross multiply
    165,096x = 355,464 × 355,464
  4. Step 4: Simplify right side
    165,096x = 126,354,655,296
  5. Step 5: Solve for x
    x = 126,354,655,296/165,096
  6. Step 6: Final answer
    x = 765,340.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.