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Finding the Third Proportional to 183,730 and 275,593

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Solution

The third proportional to 183,730 and 275,593 is: 413,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730 : 275,593 = 275,593 : x
  2. Step 2: Convert to fraction form
    183,730/275,593 = 275,593/x
  3. Step 3: Cross multiply
    183,730x = 275,593 × 275,593
  4. Step 4: Simplify right side
    183,730x = 75,951,501,649
  5. Step 5: Solve for x
    x = 75,951,501,649/183,730
  6. Step 6: Final answer
    x = 413,386.50

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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.