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Finding the Third Proportional to 185,627 and 282,793.50

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Solution

The third proportional to 185,627 and 282,793.50 is: 430,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,627 : 282,793.50 = 282,793.50 : x
  2. Step 2: Convert to fraction form
    185,627/282,793.50 = 282,793.50/x
  3. Step 3: Cross multiply
    185,627x = 282,793.50 × 282,793.50
  4. Step 4: Simplify right side
    185,627x = 79,972,163,642.25
  5. Step 5: Solve for x
    x = 79,972,163,642.25/185,627
  6. Step 6: Final answer
    x = 430,821.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.