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Finding the Third Proportional to 167,347 and 254,946

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Solution

The third proportional to 167,347 and 254,946 is: 388,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,347 : 254,946 = 254,946 : x
  2. Step 2: Convert to fraction form
    167,347/254,946 = 254,946/x
  3. Step 3: Cross multiply
    167,347x = 254,946 × 254,946
  4. Step 4: Simplify right side
    167,347x = 64,997,462,916
  5. Step 5: Solve for x
    x = 64,997,462,916/167,347
  6. Step 6: Final answer
    x = 388,399.33

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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.