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Finding the Third Proportional to 165,690 and 248,121

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Solution

The third proportional to 165,690 and 248,121 is: 371,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,690 : 248,121 = 248,121 : x
  2. Step 2: Convert to fraction form
    165,690/248,121 = 248,121/x
  3. Step 3: Cross multiply
    165,690x = 248,121 × 248,121
  4. Step 4: Simplify right side
    165,690x = 61,564,030,641
  5. Step 5: Solve for x
    x = 61,564,030,641/165,690
  6. Step 6: Final answer
    x = 371,561.53

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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.