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Finding the Third Proportional to 167,352 and 254,954

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Solution

The third proportional to 167,352 and 254,954 is: 388,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,352 : 254,954 = 254,954 : x
  2. Step 2: Convert to fraction form
    167,352/254,954 = 254,954/x
  3. Step 3: Cross multiply
    167,352x = 254,954 × 254,954
  4. Step 4: Simplify right side
    167,352x = 65,001,542,116
  5. Step 5: Solve for x
    x = 65,001,542,116/167,352
  6. Step 6: Final answer
    x = 388,412.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.