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Finding the Third Proportional to 108,786 and 237,498

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Solution

The third proportional to 108,786 and 237,498 is: 518,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786 : 237,498 = 237,498 : x
  2. Step 2: Convert to fraction form
    108,786/237,498 = 237,498/x
  3. Step 3: Cross multiply
    108,786x = 237,498 × 237,498
  4. Step 4: Simplify right side
    108,786x = 56,405,300,004
  5. Step 5: Solve for x
    x = 56,405,300,004/108,786
  6. Step 6: Final answer
    x = 518,497.78

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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.