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Finding the Third Proportional to 168,530.63 and 256,246.03

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Solution

The third proportional to 168,530.63 and 256,246.03 is: 389,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,530.63 : 256,246.03 = 256,246.03 : x
  2. Step 2: Convert to fraction form
    168,530.63/256,246.03 = 256,246.03/x
  3. Step 3: Cross multiply
    168,530.63x = 256,246.03 × 256,246.03
  4. Step 4: Simplify right side
    168,530.63x = 65,662,028,531.38
  5. Step 5: Solve for x
    x = 65,662,028,531.38/168,530.63
  6. Step 6: Final answer
    x = 389,614.82

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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.