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Finding the Third Proportional to 233,183.81 and 342,118.69

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Solution

The third proportional to 233,183.81 and 342,118.69 is: 501,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,183.81 : 342,118.69 = 342,118.69 : x
  2. Step 2: Convert to fraction form
    233,183.81/342,118.69 = 342,118.69/x
  3. Step 3: Cross multiply
    233,183.81x = 342,118.69 × 342,118.69
  4. Step 4: Simplify right side
    233,183.81x = 117,045,196,336.72
  5. Step 5: Solve for x
    x = 117,045,196,336.72/233,183.81
  6. Step 6: Final answer
    x = 501,943.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.