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Finding the Third Proportional to 133,024 and 289,322

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Solution

The third proportional to 133,024 and 289,322 is: 629,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 289,322 = 289,322 : x
  2. Step 2: Convert to fraction form
    133,024/289,322 = 289,322/x
  3. Step 3: Cross multiply
    133,024x = 289,322 × 289,322
  4. Step 4: Simplify right side
    133,024x = 83,707,219,684
  5. Step 5: Solve for x
    x = 83,707,219,684/133,024
  6. Step 6: Final answer
    x = 629,264.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.