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Finding the Third Proportional to 180,414 and 321,462

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Solution

The third proportional to 180,414 and 321,462 is: 572,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414 : 321,462 = 321,462 : x
  2. Step 2: Convert to fraction form
    180,414/321,462 = 321,462/x
  3. Step 3: Cross multiply
    180,414x = 321,462 × 321,462
  4. Step 4: Simplify right side
    180,414x = 103,337,817,444
  5. Step 5: Solve for x
    x = 103,337,817,444/180,414
  6. Step 6: Final answer
    x = 572,781.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.