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Finding the Third Proportional to 187,871.25 and 443,235.75

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Solution

The third proportional to 187,871.25 and 443,235.75 is: 1,045,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871.25 : 443,235.75 = 443,235.75 : x
  2. Step 2: Convert to fraction form
    187,871.25/443,235.75 = 443,235.75/x
  3. Step 3: Cross multiply
    187,871.25x = 443,235.75 × 443,235.75
  4. Step 4: Simplify right side
    187,871.25x = 196,457,930,078.06
  5. Step 5: Solve for x
    x = 196,457,930,078.06/187,871.25
  6. Step 6: Final answer
    x = 1,045,705.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.