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Finding the Third Proportional to 164,468.25 and 360,345.38

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Solution

The third proportional to 164,468.25 and 360,345.38 is: 789,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468.25 : 360,345.38 = 360,345.38 : x
  2. Step 2: Convert to fraction form
    164,468.25/360,345.38 = 360,345.38/x
  3. Step 3: Cross multiply
    164,468.25x = 360,345.38 × 360,345.38
  4. Step 4: Simplify right side
    164,468.25x = 129,848,789,283.89
  5. Step 5: Solve for x
    x = 129,848,789,283.89/164,468.25
  6. Step 6: Final answer
    x = 789,506.72

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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.