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Finding the Third Proportional to 123,403.50 and 269,416.13

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Solution

The third proportional to 123,403.50 and 269,416.13 is: 588,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,403.50 : 269,416.13 = 269,416.13 : x
  2. Step 2: Convert to fraction form
    123,403.50/269,416.13 = 269,416.13/x
  3. Step 3: Cross multiply
    123,403.50x = 269,416.13 × 269,416.13
  4. Step 4: Simplify right side
    123,403.50x = 72,585,048,410.02
  5. Step 5: Solve for x
    x = 72,585,048,410.02/123,403.50
  6. Step 6: Final answer
    x = 588,192.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.