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Finding the Third Proportional to 188,673 and 280,444.50

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Solution

The third proportional to 188,673 and 280,444.50 is: 416,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,673 : 280,444.50 = 280,444.50 : x
  2. Step 2: Convert to fraction form
    188,673/280,444.50 = 280,444.50/x
  3. Step 3: Cross multiply
    188,673x = 280,444.50 × 280,444.50
  4. Step 4: Simplify right side
    188,673x = 78,649,117,580.25
  5. Step 5: Solve for x
    x = 78,649,117,580.25/188,673
  6. Step 6: Final answer
    x = 416,854.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.