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Finding the Third Proportional to 170,023 and 255,062

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Solution

The third proportional to 170,023 and 255,062 is: 382,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,023 : 255,062 = 255,062 : x
  2. Step 2: Convert to fraction form
    170,023/255,062 = 255,062/x
  3. Step 3: Cross multiply
    170,023x = 255,062 × 255,062
  4. Step 4: Simplify right side
    170,023x = 65,056,623,844
  5. Step 5: Solve for x
    x = 65,056,623,844/170,023
  6. Step 6: Final answer
    x = 382,634.25

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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.