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Finding the Third Proportional to 181,170 and 426,282

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Solution

The third proportional to 181,170 and 426,282 is: 1,003,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170 : 426,282 = 426,282 : x
  2. Step 2: Convert to fraction form
    181,170/426,282 = 426,282/x
  3. Step 3: Cross multiply
    181,170x = 426,282 × 426,282
  4. Step 4: Simplify right side
    181,170x = 181,716,343,524
  5. Step 5: Solve for x
    x = 181,716,343,524/181,170
  6. Step 6: Final answer
    x = 1,003,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.