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Finding the Third Proportional to 242,164.69 and 532,450.97

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Solution

The third proportional to 242,164.69 and 532,450.97 is: 1,170,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164.69 : 532,450.97 = 532,450.97 : x
  2. Step 2: Convert to fraction form
    242,164.69/532,450.97 = 532,450.97/x
  3. Step 3: Cross multiply
    242,164.69x = 532,450.97 × 532,450.97
  4. Step 4: Simplify right side
    242,164.69x = 283,504,034,122.81
  5. Step 5: Solve for x
    x = 283,504,034,122.81/242,164.69
  6. Step 6: Final answer
    x = 1,170,707.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.