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Finding the Third Proportional to 123,390 and 269,439.75

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Solution

The third proportional to 123,390 and 269,439.75 is: 588,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,390 : 269,439.75 = 269,439.75 : x
  2. Step 2: Convert to fraction form
    123,390/269,439.75 = 269,439.75/x
  3. Step 3: Cross multiply
    123,390x = 269,439.75 × 269,439.75
  4. Step 4: Simplify right side
    123,390x = 72,597,778,880.06
  5. Step 5: Solve for x
    x = 72,597,778,880.06/123,390
  6. Step 6: Final answer
    x = 588,360.31

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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.