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Finding the Third Proportional to 133,064 and 299,442

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Solution

The third proportional to 133,064 and 299,442 is: 673,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064 : 299,442 = 299,442 : x
  2. Step 2: Convert to fraction form
    133,064/299,442 = 299,442/x
  3. Step 3: Cross multiply
    133,064x = 299,442 × 299,442
  4. Step 4: Simplify right side
    133,064x = 89,665,511,364
  5. Step 5: Solve for x
    x = 89,665,511,364/133,064
  6. Step 6: Final answer
    x = 673,852.52

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.