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Finding the Third Proportional to 237,914 and 347,935

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Solution

The third proportional to 237,914 and 347,935 is: 508,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,914 : 347,935 = 347,935 : x
  2. Step 2: Convert to fraction form
    237,914/347,935 = 347,935/x
  3. Step 3: Cross multiply
    237,914x = 347,935 × 347,935
  4. Step 4: Simplify right side
    237,914x = 121,058,764,225
  5. Step 5: Solve for x
    x = 121,058,764,225/237,914
  6. Step 6: Final answer
    x = 508,834.13

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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.