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Finding the Third Proportional to 185,428.50 and 380,687

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Solution

The third proportional to 185,428.50 and 380,687 is: 781,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,428.50 : 380,687 = 380,687 : x
  2. Step 2: Convert to fraction form
    185,428.50/380,687 = 380,687/x
  3. Step 3: Cross multiply
    185,428.50x = 380,687 × 380,687
  4. Step 4: Simplify right side
    185,428.50x = 144,922,591,969
  5. Step 5: Solve for x
    x = 144,922,591,969/185,428.50
  6. Step 6: Final answer
    x = 781,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.