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Finding the Third Proportional to 110,660 and 237,098

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Solution

The third proportional to 110,660 and 237,098 is: 508,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,660 : 237,098 = 237,098 : x
  2. Step 2: Convert to fraction form
    110,660/237,098 = 237,098/x
  3. Step 3: Cross multiply
    110,660x = 237,098 × 237,098
  4. Step 4: Simplify right side
    110,660x = 56,215,461,604
  5. Step 5: Solve for x
    x = 56,215,461,604/110,660
  6. Step 6: Final answer
    x = 508,001.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.