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Finding the Third Proportional to 168,719.25 and 237,291.75

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Solution

The third proportional to 168,719.25 and 237,291.75 is: 333,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,719.25 : 237,291.75 = 237,291.75 : x
  2. Step 2: Convert to fraction form
    168,719.25/237,291.75 = 237,291.75/x
  3. Step 3: Cross multiply
    168,719.25x = 237,291.75 × 237,291.75
  4. Step 4: Simplify right side
    168,719.25x = 56,307,374,618.06
  5. Step 5: Solve for x
    x = 56,307,374,618.06/168,719.25
  6. Step 6: Final answer
    x = 333,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.