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Finding the Third Proportional to 201,163 and 431,533

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Solution

The third proportional to 201,163 and 431,533 is: 925,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163 : 431,533 = 431,533 : x
  2. Step 2: Convert to fraction form
    201,163/431,533 = 431,533/x
  3. Step 3: Cross multiply
    201,163x = 431,533 × 431,533
  4. Step 4: Simplify right side
    201,163x = 186,220,730,089
  5. Step 5: Solve for x
    x = 186,220,730,089/201,163
  6. Step 6: Final answer
    x = 925,720.59

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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.