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Finding the Third Proportional to 170,882 and 256,239

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Solution

The third proportional to 170,882 and 256,239 is: 384,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,882 : 256,239 = 256,239 : x
  2. Step 2: Convert to fraction form
    170,882/256,239 = 256,239/x
  3. Step 3: Cross multiply
    170,882x = 256,239 × 256,239
  4. Step 4: Simplify right side
    170,882x = 65,658,425,121
  5. Step 5: Solve for x
    x = 65,658,425,121/170,882
  6. Step 6: Final answer
    x = 384,232.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.