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Finding the Third Proportional to 135,065 and 293,914

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Solution

The third proportional to 135,065 and 293,914 is: 639,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,065 : 293,914 = 293,914 : x
  2. Step 2: Convert to fraction form
    135,065/293,914 = 293,914/x
  3. Step 3: Cross multiply
    135,065x = 293,914 × 293,914
  4. Step 4: Simplify right side
    135,065x = 86,385,439,396
  5. Step 5: Solve for x
    x = 86,385,439,396/135,065
  6. Step 6: Final answer
    x = 639,584.20

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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.