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Finding the Third Proportional to 167,672 and 255,882

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Solution

The third proportional to 167,672 and 255,882 is: 390,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,672 : 255,882 = 255,882 : x
  2. Step 2: Convert to fraction form
    167,672/255,882 = 255,882/x
  3. Step 3: Cross multiply
    167,672x = 255,882 × 255,882
  4. Step 4: Simplify right side
    167,672x = 65,475,597,924
  5. Step 5: Solve for x
    x = 65,475,597,924/167,672
  6. Step 6: Final answer
    x = 390,498.10

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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.