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Finding the Third Proportional to 237,634 and 334,347

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Solution

The third proportional to 237,634 and 334,347 is: 470,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,634 : 334,347 = 334,347 : x
  2. Step 2: Convert to fraction form
    237,634/334,347 = 334,347/x
  3. Step 3: Cross multiply
    237,634x = 334,347 × 334,347
  4. Step 4: Simplify right side
    237,634x = 111,787,916,409
  5. Step 5: Solve for x
    x = 111,787,916,409/237,634
  6. Step 6: Final answer
    x = 470,420.55

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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.