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Finding the Third Proportional to 237,664 and 345,795

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Solution

The third proportional to 237,664 and 345,795 is: 503,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,664 : 345,795 = 345,795 : x
  2. Step 2: Convert to fraction form
    237,664/345,795 = 345,795/x
  3. Step 3: Cross multiply
    237,664x = 345,795 × 345,795
  4. Step 4: Simplify right side
    237,664x = 119,574,182,025
  5. Step 5: Solve for x
    x = 119,574,182,025/237,664
  6. Step 6: Final answer
    x = 503,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.