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Finding the Third Proportional to 165,510 and 354,347

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Solution

The third proportional to 165,510 and 354,347 is: 758,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,510 : 354,347 = 354,347 : x
  2. Step 2: Convert to fraction form
    165,510/354,347 = 354,347/x
  3. Step 3: Cross multiply
    165,510x = 354,347 × 354,347
  4. Step 4: Simplify right side
    165,510x = 125,561,796,409
  5. Step 5: Solve for x
    x = 125,561,796,409/165,510
  6. Step 6: Final answer
    x = 758,635.71

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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.