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Finding the Third Proportional to 168,800 and 368,967.50

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Solution

The third proportional to 168,800 and 368,967.50 is: 806,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,800 : 368,967.50 = 368,967.50 : x
  2. Step 2: Convert to fraction form
    168,800/368,967.50 = 368,967.50/x
  3. Step 3: Cross multiply
    168,800x = 368,967.50 × 368,967.50
  4. Step 4: Simplify right side
    168,800x = 136,137,016,056.25
  5. Step 5: Solve for x
    x = 136,137,016,056.25/168,800
  6. Step 6: Final answer
    x = 806,498.91

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