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Finding the Third Proportional to 183,742.50 and 275,613

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Solution

The third proportional to 183,742.50 and 275,613 is: 413,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,742.50 : 275,613 = 275,613 : x
  2. Step 2: Convert to fraction form
    183,742.50/275,613 = 275,613/x
  3. Step 3: Cross multiply
    183,742.50x = 275,613 × 275,613
  4. Step 4: Simplify right side
    183,742.50x = 75,962,525,769
  5. Step 5: Solve for x
    x = 75,962,525,769/183,742.50
  6. Step 6: Final answer
    x = 413,418.38

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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.