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Finding the Third Proportional to 108,924.75 and 237,562.88

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Solution

The third proportional to 108,924.75 and 237,562.88 is: 518,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,924.75 : 237,562.88 = 237,562.88 : x
  2. Step 2: Convert to fraction form
    108,924.75/237,562.88 = 237,562.88/x
  3. Step 3: Cross multiply
    108,924.75x = 237,562.88 × 237,562.88
  4. Step 4: Simplify right side
    108,924.75x = 56,436,119,578.27
  5. Step 5: Solve for x
    x = 56,436,119,578.27/108,924.75
  6. Step 6: Final answer
    x = 518,120.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.