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Finding the Third Proportional to 237,714.75 and 323,767.13

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Solution

The third proportional to 237,714.75 and 323,767.13 is: 440,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,714.75 : 323,767.13 = 323,767.13 : x
  2. Step 2: Convert to fraction form
    237,714.75/323,767.13 = 323,767.13/x
  3. Step 3: Cross multiply
    237,714.75x = 323,767.13 × 323,767.13
  4. Step 4: Simplify right side
    237,714.75x = 104,825,151,230.77
  5. Step 5: Solve for x
    x = 104,825,151,230.77/237,714.75
  6. Step 6: Final answer
    x = 440,970.33

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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.