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Finding the Third Proportional to 108,974 and 233,500

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Solution

The third proportional to 108,974 and 233,500 is: 500,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,974 : 233,500 = 233,500 : x
  2. Step 2: Convert to fraction form
    108,974/233,500 = 233,500/x
  3. Step 3: Cross multiply
    108,974x = 233,500 × 233,500
  4. Step 4: Simplify right side
    108,974x = 54,522,250,000
  5. Step 5: Solve for x
    x = 54,522,250,000/108,974
  6. Step 6: Final answer
    x = 500,323.47

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