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Finding the Third Proportional to 171,756 and 252,660

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Solution

The third proportional to 171,756 and 252,660 is: 371,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,756 : 252,660 = 252,660 : x
  2. Step 2: Convert to fraction form
    171,756/252,660 = 252,660/x
  3. Step 3: Cross multiply
    171,756x = 252,660 × 252,660
  4. Step 4: Simplify right side
    171,756x = 63,837,075,600
  5. Step 5: Solve for x
    x = 63,837,075,600/171,756
  6. Step 6: Final answer
    x = 371,673.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.