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Finding the Third Proportional to 174,642 and 266,977

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Solution

The third proportional to 174,642 and 266,977 is: 408,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,642 : 266,977 = 266,977 : x
  2. Step 2: Convert to fraction form
    174,642/266,977 = 266,977/x
  3. Step 3: Cross multiply
    174,642x = 266,977 × 266,977
  4. Step 4: Simplify right side
    174,642x = 71,276,718,529
  5. Step 5: Solve for x
    x = 71,276,718,529/174,642
  6. Step 6: Final answer
    x = 408,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.