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Finding the Third Proportional to 170,900.50 and 368,097.50

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Solution

The third proportional to 170,900.50 and 368,097.50 is: 792,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,900.50 : 368,097.50 = 368,097.50 : x
  2. Step 2: Convert to fraction form
    170,900.50/368,097.50 = 368,097.50/x
  3. Step 3: Cross multiply
    170,900.50x = 368,097.50 × 368,097.50
  4. Step 4: Simplify right side
    170,900.50x = 135,495,769,506.25
  5. Step 5: Solve for x
    x = 135,495,769,506.25/170,900.50
  6. Step 6: Final answer
    x = 792,834.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.