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Finding the Third Proportional to 168,449.63 and 254,422.13

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Solution

The third proportional to 168,449.63 and 254,422.13 is: 384,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,449.63 : 254,422.13 = 254,422.13 : x
  2. Step 2: Convert to fraction form
    168,449.63/254,422.13 = 254,422.13/x
  3. Step 3: Cross multiply
    168,449.63x = 254,422.13 × 254,422.13
  4. Step 4: Simplify right side
    168,449.63x = 64,730,617,689.52
  5. Step 5: Solve for x
    x = 64,730,617,689.52/168,449.63
  6. Step 6: Final answer
    x = 384,272.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.