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Finding the Third Proportional to 237,771 and 347,905

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Solution

The third proportional to 237,771 and 347,905 is: 509,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,771 : 347,905 = 347,905 : x
  2. Step 2: Convert to fraction form
    237,771/347,905 = 347,905/x
  3. Step 3: Cross multiply
    237,771x = 347,905 × 347,905
  4. Step 4: Simplify right side
    237,771x = 121,037,889,025
  5. Step 5: Solve for x
    x = 121,037,889,025/237,771
  6. Step 6: Final answer
    x = 509,052.36

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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.