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Finding the Third Proportional to 165,760 and 357,728

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Solution

The third proportional to 165,760 and 357,728 is: 772,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,760 : 357,728 = 357,728 : x
  2. Step 2: Convert to fraction form
    165,760/357,728 = 357,728/x
  3. Step 3: Cross multiply
    165,760x = 357,728 × 357,728
  4. Step 4: Simplify right side
    165,760x = 127,969,321,984
  5. Step 5: Solve for x
    x = 127,969,321,984/165,760
  6. Step 6: Final answer
    x = 772,015.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.