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Finding the Third Proportional to 119,588 and 275,636

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Solution

The third proportional to 119,588 and 275,636 is: 635,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,588 : 275,636 = 275,636 : x
  2. Step 2: Convert to fraction form
    119,588/275,636 = 275,636/x
  3. Step 3: Cross multiply
    119,588x = 275,636 × 275,636
  4. Step 4: Simplify right side
    119,588x = 75,975,204,496
  5. Step 5: Solve for x
    x = 75,975,204,496/119,588
  6. Step 6: Final answer
    x = 635,307.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.