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Finding the Third Proportional to 183,141 and 274,519.13

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Solution

The third proportional to 183,141 and 274,519.13 is: 411,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,141 : 274,519.13 = 274,519.13 : x
  2. Step 2: Convert to fraction form
    183,141/274,519.13 = 274,519.13/x
  3. Step 3: Cross multiply
    183,141x = 274,519.13 × 274,519.13
  4. Step 4: Simplify right side
    183,141x = 75,360,749,990.77
  5. Step 5: Solve for x
    x = 75,360,749,990.77/183,141
  6. Step 6: Final answer
    x = 411,490.33

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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.