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Finding the Third Proportional to 108,822 and 239,028

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Solution

The third proportional to 108,822 and 239,028 is: 525,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,822 : 239,028 = 239,028 : x
  2. Step 2: Convert to fraction form
    108,822/239,028 = 239,028/x
  3. Step 3: Cross multiply
    108,822x = 239,028 × 239,028
  4. Step 4: Simplify right side
    108,822x = 57,134,384,784
  5. Step 5: Solve for x
    x = 57,134,384,784/108,822
  6. Step 6: Final answer
    x = 525,026.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.