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Finding the Third Proportional to 167,208.75 and 254,008.13

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Solution

The third proportional to 167,208.75 and 254,008.13 is: 385,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,208.75 : 254,008.13 = 254,008.13 : x
  2. Step 2: Convert to fraction form
    167,208.75/254,008.13 = 254,008.13/x
  3. Step 3: Cross multiply
    167,208.75x = 254,008.13 × 254,008.13
  4. Step 4: Simplify right side
    167,208.75x = 64,520,127,566.02
  5. Step 5: Solve for x
    x = 64,520,127,566.02/167,208.75
  6. Step 6: Final answer
    x = 385,865.74

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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.