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Finding the Third Proportional to 165,084.75 and 361,813.50

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Solution

The third proportional to 165,084.75 and 361,813.50 is: 792,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,084.75 : 361,813.50 = 361,813.50 : x
  2. Step 2: Convert to fraction form
    165,084.75/361,813.50 = 361,813.50/x
  3. Step 3: Cross multiply
    165,084.75x = 361,813.50 × 361,813.50
  4. Step 4: Simplify right side
    165,084.75x = 130,909,008,782.25
  5. Step 5: Solve for x
    x = 130,909,008,782.25/165,084.75
  6. Step 6: Final answer
    x = 792,980.63

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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.