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Finding the Third Proportional to 133,105 and 288,341

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Solution

The third proportional to 133,105 and 288,341 is: 624,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105 : 288,341 = 288,341 : x
  2. Step 2: Convert to fraction form
    133,105/288,341 = 288,341/x
  3. Step 3: Cross multiply
    133,105x = 288,341 × 288,341
  4. Step 4: Simplify right side
    133,105x = 83,140,532,281
  5. Step 5: Solve for x
    x = 83,140,532,281/133,105
  6. Step 6: Final answer
    x = 624,623.66

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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.