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Finding the Third Proportional to 184,252.50 and 399,609

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Solution

The third proportional to 184,252.50 and 399,609 is: 866,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,252.50 : 399,609 = 399,609 : x
  2. Step 2: Convert to fraction form
    184,252.50/399,609 = 399,609/x
  3. Step 3: Cross multiply
    184,252.50x = 399,609 × 399,609
  4. Step 4: Simplify right side
    184,252.50x = 159,687,352,881
  5. Step 5: Solve for x
    x = 159,687,352,881/184,252.50
  6. Step 6: Final answer
    x = 866,676.72

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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.