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Finding the Third Proportional to 168,654.50 and 256,435

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Solution

The third proportional to 168,654.50 and 256,435 is: 389,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,654.50 : 256,435 = 256,435 : x
  2. Step 2: Convert to fraction form
    168,654.50/256,435 = 256,435/x
  3. Step 3: Cross multiply
    168,654.50x = 256,435 × 256,435
  4. Step 4: Simplify right side
    168,654.50x = 65,758,909,225
  5. Step 5: Solve for x
    x = 65,758,909,225/168,654.50
  6. Step 6: Final answer
    x = 389,903.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.