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Finding the Third Proportional to 165,486.75 and 248,007.75

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Solution

The third proportional to 165,486.75 and 248,007.75 is: 371,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,486.75 : 248,007.75 = 248,007.75 : x
  2. Step 2: Convert to fraction form
    165,486.75/248,007.75 = 248,007.75/x
  3. Step 3: Cross multiply
    165,486.75x = 248,007.75 × 248,007.75
  4. Step 4: Simplify right side
    165,486.75x = 61,507,844,060.06
  5. Step 5: Solve for x
    x = 61,507,844,060.06/165,486.75
  6. Step 6: Final answer
    x = 371,678.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.