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Finding the Third Proportional to 163,410.75 and 225,024.75

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Solution

The third proportional to 163,410.75 and 225,024.75 is: 309,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,410.75 : 225,024.75 = 225,024.75 : x
  2. Step 2: Convert to fraction form
    163,410.75/225,024.75 = 225,024.75/x
  3. Step 3: Cross multiply
    163,410.75x = 225,024.75 × 225,024.75
  4. Step 4: Simplify right side
    163,410.75x = 50,636,138,112.56
  5. Step 5: Solve for x
    x = 50,636,138,112.56/163,410.75
  6. Step 6: Final answer
    x = 309,870.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.