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Finding the Third Proportional to 135,292.88 and 293,640.38

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Solution

The third proportional to 135,292.88 and 293,640.38 is: 637,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,292.88 : 293,640.38 = 293,640.38 : x
  2. Step 2: Convert to fraction form
    135,292.88/293,640.38 = 293,640.38/x
  3. Step 3: Cross multiply
    135,292.88x = 293,640.38 × 293,640.38
  4. Step 4: Simplify right side
    135,292.88x = 86,224,669,830.14
  5. Step 5: Solve for x
    x = 86,224,669,830.14/135,292.88
  6. Step 6: Final answer
    x = 637,318.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.