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Finding the Third Proportional to 182,111.63 and 371,449.13

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Solution

The third proportional to 182,111.63 and 371,449.13 is: 757,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,111.63 : 371,449.13 = 371,449.13 : x
  2. Step 2: Convert to fraction form
    182,111.63/371,449.13 = 371,449.13/x
  3. Step 3: Cross multiply
    182,111.63x = 371,449.13 × 371,449.13
  4. Step 4: Simplify right side
    182,111.63x = 137,974,452,463.27
  5. Step 5: Solve for x
    x = 137,974,452,463.27/182,111.63
  6. Step 6: Final answer
    x = 757,636.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.