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Finding the Third Proportional to 104,611.50 and 232,470

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Solution

The third proportional to 104,611.50 and 232,470 is: 516,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,611.50 : 232,470 = 232,470 : x
  2. Step 2: Convert to fraction form
    104,611.50/232,470 = 232,470/x
  3. Step 3: Cross multiply
    104,611.50x = 232,470 × 232,470
  4. Step 4: Simplify right side
    104,611.50x = 54,042,300,900
  5. Step 5: Solve for x
    x = 54,042,300,900/104,611.50
  6. Step 6: Final answer
    x = 516,600

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.