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Finding the Third Proportional to 108,569 and 235,723

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Solution

The third proportional to 108,569 and 235,723 is: 511,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,569 : 235,723 = 235,723 : x
  2. Step 2: Convert to fraction form
    108,569/235,723 = 235,723/x
  3. Step 3: Cross multiply
    108,569x = 235,723 × 235,723
  4. Step 4: Simplify right side
    108,569x = 55,565,332,729
  5. Step 5: Solve for x
    x = 55,565,332,729/108,569
  6. Step 6: Final answer
    x = 511,797.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.