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Finding the Third Proportional to 201,369 and 433,595

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Solution

The third proportional to 201,369 and 433,595 is: 933,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369 : 433,595 = 433,595 : x
  2. Step 2: Convert to fraction form
    201,369/433,595 = 433,595/x
  3. Step 3: Cross multiply
    201,369x = 433,595 × 433,595
  4. Step 4: Simplify right side
    201,369x = 188,004,624,025
  5. Step 5: Solve for x
    x = 188,004,624,025/201,369
  6. Step 6: Final answer
    x = 933,632.41

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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.