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Finding the Third Proportional to 191,740.50 and 281,697.75

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Solution

The third proportional to 191,740.50 and 281,697.75 is: 413,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,740.50 : 281,697.75 = 281,697.75 : x
  2. Step 2: Convert to fraction form
    191,740.50/281,697.75 = 281,697.75/x
  3. Step 3: Cross multiply
    191,740.50x = 281,697.75 × 281,697.75
  4. Step 4: Simplify right side
    191,740.50x = 79,353,622,355.06
  5. Step 5: Solve for x
    x = 79,353,622,355.06/191,740.50
  6. Step 6: Final answer
    x = 413,859.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.