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Finding the Third Proportional to 201,262.69 and 434,052.88

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Solution

The third proportional to 201,262.69 and 434,052.88 is: 936,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262.69 : 434,052.88 = 434,052.88 : x
  2. Step 2: Convert to fraction form
    201,262.69/434,052.88 = 434,052.88/x
  3. Step 3: Cross multiply
    201,262.69x = 434,052.88 × 434,052.88
  4. Step 4: Simplify right side
    201,262.69x = 188,401,898,295.77
  5. Step 5: Solve for x
    x = 188,401,898,295.77/201,262.69
  6. Step 6: Final answer
    x = 936,099.49

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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.