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Finding the Third Proportional to 165,856.50 and 389,889

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Solution

The third proportional to 165,856.50 and 389,889 is: 916,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,856.50 : 389,889 = 389,889 : x
  2. Step 2: Convert to fraction form
    165,856.50/389,889 = 389,889/x
  3. Step 3: Cross multiply
    165,856.50x = 389,889 × 389,889
  4. Step 4: Simplify right side
    165,856.50x = 152,013,432,321
  5. Step 5: Solve for x
    x = 152,013,432,321/165,856.50
  6. Step 6: Final answer
    x = 916,535.87

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.