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Finding the Third Proportional to 110,602 and 170,232

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Solution

The third proportional to 110,602 and 170,232 is: 262,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,602 : 170,232 = 170,232 : x
  2. Step 2: Convert to fraction form
    110,602/170,232 = 170,232/x
  3. Step 3: Cross multiply
    110,602x = 170,232 × 170,232
  4. Step 4: Simplify right side
    110,602x = 28,978,933,824
  5. Step 5: Solve for x
    x = 28,978,933,824/110,602
  6. Step 6: Final answer
    x = 262,010.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.