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Finding the Third Proportional to 133,096 and 288,575

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Solution

The third proportional to 133,096 and 288,575 is: 625,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 288,575 = 288,575 : x
  2. Step 2: Convert to fraction form
    133,096/288,575 = 288,575/x
  3. Step 3: Cross multiply
    133,096x = 288,575 × 288,575
  4. Step 4: Simplify right side
    133,096x = 83,275,530,625
  5. Step 5: Solve for x
    x = 83,275,530,625/133,096
  6. Step 6: Final answer
    x = 625,680.19

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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.