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Finding the Third Proportional to 104,912 and 230,560

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Solution

The third proportional to 104,912 and 230,560 is: 506,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912 : 230,560 = 230,560 : x
  2. Step 2: Convert to fraction form
    104,912/230,560 = 230,560/x
  3. Step 3: Cross multiply
    104,912x = 230,560 × 230,560
  4. Step 4: Simplify right side
    104,912x = 53,157,913,600
  5. Step 5: Solve for x
    x = 53,157,913,600/104,912
  6. Step 6: Final answer
    x = 506,690.50

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