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Finding the Third Proportional to 133,732 and 288,529

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Solution

The third proportional to 133,732 and 288,529 is: 622,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,732 : 288,529 = 288,529 : x
  2. Step 2: Convert to fraction form
    133,732/288,529 = 288,529/x
  3. Step 3: Cross multiply
    133,732x = 288,529 × 288,529
  4. Step 4: Simplify right side
    133,732x = 83,248,983,841
  5. Step 5: Solve for x
    x = 83,248,983,841/133,732
  6. Step 6: Final answer
    x = 622,506.09

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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.