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Finding the Third Proportional to 165,432.75 and 362,371.50

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Solution

The third proportional to 165,432.75 and 362,371.50 is: 793,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,432.75 : 362,371.50 = 362,371.50 : x
  2. Step 2: Convert to fraction form
    165,432.75/362,371.50 = 362,371.50/x
  3. Step 3: Cross multiply
    165,432.75x = 362,371.50 × 362,371.50
  4. Step 4: Simplify right side
    165,432.75x = 131,313,104,012.25
  5. Step 5: Solve for x
    x = 131,313,104,012.25/165,432.75
  6. Step 6: Final answer
    x = 793,755.19

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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.