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Finding the Third Proportional to 165,615 and 362,773

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Solution

The third proportional to 165,615 and 362,773 is: 794,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,615 : 362,773 = 362,773 : x
  2. Step 2: Convert to fraction form
    165,615/362,773 = 362,773/x
  3. Step 3: Cross multiply
    165,615x = 362,773 × 362,773
  4. Step 4: Simplify right side
    165,615x = 131,604,249,529
  5. Step 5: Solve for x
    x = 131,604,249,529/165,615
  6. Step 6: Final answer
    x = 794,639.67

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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.