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Finding the Third Proportional to 237,738.38 and 348,072.75

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Solution

The third proportional to 237,738.38 and 348,072.75 is: 509,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,738.38 : 348,072.75 = 348,072.75 : x
  2. Step 2: Convert to fraction form
    237,738.38/348,072.75 = 348,072.75/x
  3. Step 3: Cross multiply
    237,738.38x = 348,072.75 × 348,072.75
  4. Step 4: Simplify right side
    237,738.38x = 121,154,639,292.56
  5. Step 5: Solve for x
    x = 121,154,639,292.56/237,738.38
  6. Step 6: Final answer
    x = 509,613.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.