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Finding the Third Proportional to 180,260.44 and 389,422.69

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Solution

The third proportional to 180,260.44 and 389,422.69 is: 841,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,260.44 : 389,422.69 = 389,422.69 : x
  2. Step 2: Convert to fraction form
    180,260.44/389,422.69 = 389,422.69/x
  3. Step 3: Cross multiply
    180,260.44x = 389,422.69 × 389,422.69
  4. Step 4: Simplify right side
    180,260.44x = 151,650,029,539.72
  5. Step 5: Solve for x
    x = 151,650,029,539.72/180,260.44
  6. Step 6: Final answer
    x = 841,282.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.