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Finding the Third Proportional to 201,706 and 434,533

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Solution

The third proportional to 201,706 and 434,533 is: 936,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706 : 434,533 = 434,533 : x
  2. Step 2: Convert to fraction form
    201,706/434,533 = 434,533/x
  3. Step 3: Cross multiply
    201,706x = 434,533 × 434,533
  4. Step 4: Simplify right side
    201,706x = 188,818,928,089
  5. Step 5: Solve for x
    x = 188,818,928,089/201,706
  6. Step 6: Final answer
    x = 936,109.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.