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Finding the Third Proportional to 237,632 and 334,344

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Solution

The third proportional to 237,632 and 334,344 is: 470,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632 : 334,344 = 334,344 : x
  2. Step 2: Convert to fraction form
    237,632/334,344 = 334,344/x
  3. Step 3: Cross multiply
    237,632x = 334,344 × 334,344
  4. Step 4: Simplify right side
    237,632x = 111,785,910,336
  5. Step 5: Solve for x
    x = 111,785,910,336/237,632
  6. Step 6: Final answer
    x = 470,416.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.