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Finding the Third Proportional to 123,268.50 and 262,423.13

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Solution

The third proportional to 123,268.50 and 262,423.13 is: 558,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,268.50 : 262,423.13 = 262,423.13 : x
  2. Step 2: Convert to fraction form
    123,268.50/262,423.13 = 262,423.13/x
  3. Step 3: Cross multiply
    123,268.50x = 262,423.13 × 262,423.13
  4. Step 4: Simplify right side
    123,268.50x = 68,865,896,534.77
  5. Step 5: Solve for x
    x = 68,865,896,534.77/123,268.50
  6. Step 6: Final answer
    x = 558,665.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.