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Finding the Third Proportional to 162,201 and 355,977

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Solution

The third proportional to 162,201 and 355,977 is: 781,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,201 : 355,977 = 355,977 : x
  2. Step 2: Convert to fraction form
    162,201/355,977 = 355,977/x
  3. Step 3: Cross multiply
    162,201x = 355,977 × 355,977
  4. Step 4: Simplify right side
    162,201x = 126,719,624,529
  5. Step 5: Solve for x
    x = 126,719,624,529/162,201
  6. Step 6: Final answer
    x = 781,250.58

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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.