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Finding the Third Proportional to 170,956 and 265,395

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Solution

The third proportional to 170,956 and 265,395 is: 412,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,956 : 265,395 = 265,395 : x
  2. Step 2: Convert to fraction form
    170,956/265,395 = 265,395/x
  3. Step 3: Cross multiply
    170,956x = 265,395 × 265,395
  4. Step 4: Simplify right side
    170,956x = 70,434,506,025
  5. Step 5: Solve for x
    x = 70,434,506,025/170,956
  6. Step 6: Final answer
    x = 412,003.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.