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Finding the Third Proportional to 165,498 and 354,324

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Solution

The third proportional to 165,498 and 354,324 is: 758,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,498 : 354,324 = 354,324 : x
  2. Step 2: Convert to fraction form
    165,498/354,324 = 354,324/x
  3. Step 3: Cross multiply
    165,498x = 354,324 × 354,324
  4. Step 4: Simplify right side
    165,498x = 125,545,496,976
  5. Step 5: Solve for x
    x = 125,545,496,976/165,498
  6. Step 6: Final answer
    x = 758,592.23

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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.