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Finding the Third Proportional to 170,052 and 265,419

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Solution

The third proportional to 170,052 and 265,419 is: 414,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,052 : 265,419 = 265,419 : x
  2. Step 2: Convert to fraction form
    170,052/265,419 = 265,419/x
  3. Step 3: Cross multiply
    170,052x = 265,419 × 265,419
  4. Step 4: Simplify right side
    170,052x = 70,447,245,561
  5. Step 5: Solve for x
    x = 70,447,245,561/170,052
  6. Step 6: Final answer
    x = 414,268.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.