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Finding the Third Proportional to 187,965 and 407,092.50

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Solution

The third proportional to 187,965 and 407,092.50 is: 881,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965 : 407,092.50 = 407,092.50 : x
  2. Step 2: Convert to fraction form
    187,965/407,092.50 = 407,092.50/x
  3. Step 3: Cross multiply
    187,965x = 407,092.50 × 407,092.50
  4. Step 4: Simplify right side
    187,965x = 165,724,303,556.25
  5. Step 5: Solve for x
    x = 165,724,303,556.25/187,965
  6. Step 6: Final answer
    x = 881,676.39

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Why These Related Problems?

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