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Finding the Third Proportional to 73,828.13 and 162,884.25

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Solution

The third proportional to 73,828.13 and 162,884.25 is: 359,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,828.13 : 162,884.25 = 162,884.25 : x
  2. Step 2: Convert to fraction form
    73,828.13/162,884.25 = 162,884.25/x
  3. Step 3: Cross multiply
    73,828.13x = 162,884.25 × 162,884.25
  4. Step 4: Simplify right side
    73,828.13x = 26,531,278,898.06
  5. Step 5: Solve for x
    x = 26,531,278,898.06/73,828.13
  6. Step 6: Final answer
    x = 359,365.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.