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Finding the Third Proportional to 183,725 and 275,588

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Solution

The third proportional to 183,725 and 275,588 is: 413,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,725 : 275,588 = 275,588 : x
  2. Step 2: Convert to fraction form
    183,725/275,588 = 275,588/x
  3. Step 3: Cross multiply
    183,725x = 275,588 × 275,588
  4. Step 4: Simplify right side
    183,725x = 75,948,745,744
  5. Step 5: Solve for x
    x = 75,948,745,744/183,725
  6. Step 6: Final answer
    x = 413,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.