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Finding the Third Proportional to 237,717 and 323,770

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Solution

The third proportional to 237,717 and 323,770 is: 440,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,717 : 323,770 = 323,770 : x
  2. Step 2: Convert to fraction form
    237,717/323,770 = 323,770/x
  3. Step 3: Cross multiply
    237,717x = 323,770 × 323,770
  4. Step 4: Simplify right side
    237,717x = 104,827,012,900
  5. Step 5: Solve for x
    x = 104,827,012,900/237,717
  6. Step 6: Final answer
    x = 440,973.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.