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Finding the Third Proportional to 165,769 and 362,571

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Solution

The third proportional to 165,769 and 362,571 is: 793,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,769 : 362,571 = 362,571 : x
  2. Step 2: Convert to fraction form
    165,769/362,571 = 362,571/x
  3. Step 3: Cross multiply
    165,769x = 362,571 × 362,571
  4. Step 4: Simplify right side
    165,769x = 131,457,730,041
  5. Step 5: Solve for x
    x = 131,457,730,041/165,769
  6. Step 6: Final answer
    x = 793,017.57

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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.