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Finding the Third Proportional to 108,724 and 239,522

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Solution

The third proportional to 108,724 and 239,522 is: 527,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,724 : 239,522 = 239,522 : x
  2. Step 2: Convert to fraction form
    108,724/239,522 = 239,522/x
  3. Step 3: Cross multiply
    108,724x = 239,522 × 239,522
  4. Step 4: Simplify right side
    108,724x = 57,370,788,484
  5. Step 5: Solve for x
    x = 57,370,788,484/108,724
  6. Step 6: Final answer
    x = 527,673.64

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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.