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Finding the Third Proportional to 138,426.75 and 296,048.25

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Solution

The third proportional to 138,426.75 and 296,048.25 is: 633,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426.75 : 296,048.25 = 296,048.25 : x
  2. Step 2: Convert to fraction form
    138,426.75/296,048.25 = 296,048.25/x
  3. Step 3: Cross multiply
    138,426.75x = 296,048.25 × 296,048.25
  4. Step 4: Simplify right side
    138,426.75x = 87,644,566,328.06
  5. Step 5: Solve for x
    x = 87,644,566,328.06/138,426.75
  6. Step 6: Final answer
    x = 633,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.