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Finding the Third Proportional to 168,459.75 and 254,444.63

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Solution

The third proportional to 168,459.75 and 254,444.63 is: 384,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,459.75 : 254,444.63 = 254,444.63 : x
  2. Step 2: Convert to fraction form
    168,459.75/254,444.63 = 254,444.63/x
  3. Step 3: Cross multiply
    168,459.75x = 254,444.63 × 254,444.63
  4. Step 4: Simplify right side
    168,459.75x = 64,742,067,191.39
  5. Step 5: Solve for x
    x = 64,742,067,191.39/168,459.75
  6. Step 6: Final answer
    x = 384,317.72

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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.