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Finding the Third Proportional to 191,740.50 and 415,212.75

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Solution

The third proportional to 191,740.50 and 415,212.75 is: 899,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,740.50 : 415,212.75 = 415,212.75 : x
  2. Step 2: Convert to fraction form
    191,740.50/415,212.75 = 415,212.75/x
  3. Step 3: Cross multiply
    191,740.50x = 415,212.75 × 415,212.75
  4. Step 4: Simplify right side
    191,740.50x = 172,401,627,762.56
  5. Step 5: Solve for x
    x = 172,401,627,762.56/191,740.50
  6. Step 6: Final answer
    x = 899,140.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.