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Finding the Third Proportional to 135,300.94 and 293,658.19

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Solution

The third proportional to 135,300.94 and 293,658.19 is: 637,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,300.94 : 293,658.19 = 293,658.19 : x
  2. Step 2: Convert to fraction form
    135,300.94/293,658.19 = 293,658.19/x
  3. Step 3: Cross multiply
    135,300.94x = 293,658.19 × 293,658.19
  4. Step 4: Simplify right side
    135,300.94x = 86,235,131,085.79
  5. Step 5: Solve for x
    x = 86,235,131,085.79/135,300.94
  6. Step 6: Final answer
    x = 637,357.97

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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.