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Finding the Third Proportional to 205,918.03 and 377,664.19

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Solution

The third proportional to 205,918.03 and 377,664.19 is: 692,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,918.03 : 377,664.19 = 377,664.19 : x
  2. Step 2: Convert to fraction form
    205,918.03/377,664.19 = 377,664.19/x
  3. Step 3: Cross multiply
    205,918.03x = 377,664.19 × 377,664.19
  4. Step 4: Simplify right side
    205,918.03x = 142,630,238,520.04
  5. Step 5: Solve for x
    x = 142,630,238,520.04/205,918.03
  6. Step 6: Final answer
    x = 692,655.41

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.