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Finding the Third Proportional to 167,100 and 255,942

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Solution

The third proportional to 167,100 and 255,942 is: 392,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,100 : 255,942 = 255,942 : x
  2. Step 2: Convert to fraction form
    167,100/255,942 = 255,942/x
  3. Step 3: Cross multiply
    167,100x = 255,942 × 255,942
  4. Step 4: Simplify right side
    167,100x = 65,506,307,364
  5. Step 5: Solve for x
    x = 65,506,307,364/167,100
  6. Step 6: Final answer
    x = 392,018.60

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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.