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Finding the Third Proportional to 165,252 and 361,308

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Solution

The third proportional to 165,252 and 361,308 is: 789,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,252 : 361,308 = 361,308 : x
  2. Step 2: Convert to fraction form
    165,252/361,308 = 361,308/x
  3. Step 3: Cross multiply
    165,252x = 361,308 × 361,308
  4. Step 4: Simplify right side
    165,252x = 130,543,470,864
  5. Step 5: Solve for x
    x = 130,543,470,864/165,252
  6. Step 6: Final answer
    x = 789,966.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.