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Finding the Third Proportional to 141,099 and 305,200.50

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Solution

The third proportional to 141,099 and 305,200.50 is: 660,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,099 : 305,200.50 = 305,200.50 : x
  2. Step 2: Convert to fraction form
    141,099/305,200.50 = 305,200.50/x
  3. Step 3: Cross multiply
    141,099x = 305,200.50 × 305,200.50
  4. Step 4: Simplify right side
    141,099x = 93,147,345,200.25
  5. Step 5: Solve for x
    x = 93,147,345,200.25/141,099
  6. Step 6: Final answer
    x = 660,155.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.