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Finding the Third Proportional to 168,277.50 and 368,232.75

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Solution

The third proportional to 168,277.50 and 368,232.75 is: 805,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,277.50 : 368,232.75 = 368,232.75 : x
  2. Step 2: Convert to fraction form
    168,277.50/368,232.75 = 368,232.75/x
  3. Step 3: Cross multiply
    168,277.50x = 368,232.75 × 368,232.75
  4. Step 4: Simplify right side
    168,277.50x = 135,595,358,172.56
  5. Step 5: Solve for x
    x = 135,595,358,172.56/168,277.50
  6. Step 6: Final answer
    x = 805,784.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.